Difference between revisions of "References"
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|[AE04] || '''Jianbei An and C. W. Eaton''', ''Blocks with trivial intersection defect groups'', Math. Z. '''247''' (2004), 461-486. | |[AE04] || '''Jianbei An and C. W. Eaton''', ''Blocks with trivial intersection defect groups'', Math. Z. '''247''' (2004), 461-486. | ||
+ | |- | ||
+ | |[AE04] || '''Jianbei An and C. W. Eaton''', [https://arxiv.org/abs/2310.02150 ''Morita equivalence classes of blocks with extraspecial defect groups <math>p_+^{1+2}</math>''], [https://arxiv.org/abs/2310.02150 arxiv:2310.02150] | ||
|- | |- | ||
|[Ar19] || '''C. G. Ardito''', [https://arxiv.org/abs/1908.02652 ''Morita equivalence classes of blocks with elementary abelian defect groups of order 32''], J. Algebra '''573''' (2021), 297-335. | |[Ar19] || '''C. G. Ardito''', [https://arxiv.org/abs/1908.02652 ''Morita equivalence classes of blocks with elementary abelian defect groups of order 32''], J. Algebra '''573''' (2021), 297-335. | ||
Line 15: | Line 17: | ||
|[ArMcK20] || '''C. G. Ardito and E. McKernon''', ''[https://arxiv.org/abs/2010.08329 ''2-blocks with an abelian defect group and a freely acting cyclic inertial quotient''], [https://arxiv.org/abs/2010.08329 arxiv.org/abs/2010.08329] | |[ArMcK20] || '''C. G. Ardito and E. McKernon''', ''[https://arxiv.org/abs/2010.08329 ''2-blocks with an abelian defect group and a freely acting cyclic inertial quotient''], [https://arxiv.org/abs/2010.08329 arxiv.org/abs/2010.08329] | ||
|- | |- | ||
− | |[AS20] || '''C. G. Ardito and B. Sambale''', [ | + | |[AS20] || '''C. G. Ardito and B. Sambale''', [http://www.advgrouptheory.com/journal/Volumes/12/ArditoSambale.pdf ''Broué's Conjecture for 2-blocks with elementary abelian defect groups of order 32''], Advances in Group Theory and Applications 12 (2021), 71–78. |
|- | |- | ||
|[AKO11] || '''M. Aschbacher, R. Kessar and B. Oliver''', ''Fusion systems in algebra and topology'', London Mathematical Society Lecture Notes '''391''', Cambridge University Press (2011). | |[AKO11] || '''M. Aschbacher, R. Kessar and B. Oliver''', ''Fusion systems in algebra and topology'', London Mathematical Society Lecture Notes '''391''', Cambridge University Press (2011). | ||
|- id="B" | |- id="B" | ||
|[BK07] || '''D. Benson and R. Kessar''', ''Blocks inequivalent to their Frobenius twists'', J. Algebra '''315''' (2007), 588-599. | |[BK07] || '''D. Benson and R. Kessar''', ''Blocks inequivalent to their Frobenius twists'', J. Algebra '''315''' (2007), 588-599. | ||
+ | |- | ||
+ | |[BS23] || '''D. Benson and B. Sambale''', [https://arxiv.org/abs/2301.10537 ''Finite dimensional algebras not arising as blocks in group algebras''], [https://arxiv.org/pdf/2301.10537 arxiv:2301.10537] | ||
|- | |- | ||
|[BKL18] || '''R. Boltje, R. Kessar, and M. Linckelmann''', [https://doi.org/10.1016/j.jalgebra.2019.02.045 ''On Picard groups of blocks of finite groups''], J. Algebra '''558''' (2020), 70-101. | |[BKL18] || '''R. Boltje, R. Kessar, and M. Linckelmann''', [https://doi.org/10.1016/j.jalgebra.2019.02.045 ''On Picard groups of blocks of finite groups''], J. Algebra '''558''' (2020), 70-101. | ||
Line 56: | Line 60: | ||
|- | |- | ||
|[Ea18] || '''C. W. Eaton''', [https://arxiv.org/abs/1612.03485 ''Morita equivalence classes of blocks with elementary abelian defect groups of order 16''], [https://arxiv.org/abs/1612.03485 arXiv:1612.03485] | |[Ea18] || '''C. W. Eaton''', [https://arxiv.org/abs/1612.03485 ''Morita equivalence classes of blocks with elementary abelian defect groups of order 16''], [https://arxiv.org/abs/1612.03485 arXiv:1612.03485] | ||
+ | |- | ||
+ | |[Ea24] || '''C. W. Eaton''', [https://arxiv.org/abs/2401.04028 ''Blocks whose defect groups are Suzuki 2-groups''], [https://arxiv.org/abs/2401.04028 arXiv:2401.04028] | ||
|- | |- | ||
|[EEL18] || '''C. W. Eaton, F. Eisele and M. Livesey''', [https://arxiv.org/abs/1809.08152 ''Donovan's conjecture, blocks with abelian defect groups and discrete valuation rings''], Math. Z. '''295''' (2020), 249-264. | |[EEL18] || '''C. W. Eaton, F. Eisele and M. Livesey''', [https://arxiv.org/abs/1809.08152 ''Donovan's conjecture, blocks with abelian defect groups and discrete valuation rings''], Math. Z. '''295''' (2020), 249-264. | ||
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|- | |- | ||
|[EL20] || '''C. W. Eaton and M. Livesey''', ''[https://arxiv.org/abs/2006.11173 Donovan's conjecture and extensions by the centralizer of a defect group]'', J. Algebra '''582''' (2021), 157-176. | |[EL20] || '''C. W. Eaton and M. Livesey''', ''[https://arxiv.org/abs/2006.11173 Donovan's conjecture and extensions by the centralizer of a defect group]'', J. Algebra '''582''' (2021), 157-176. | ||
+ | |- | ||
+ | |[EL23] || '''C. W. Eaton and M. Livesey''', ''[https://arxiv.org/abs/2310.05734 Morita equivalence classes of <math>2</math>-blocks with abelian defect groups of rank <math>4</math>]'', [https://arxiv.org/abs/2310.05734 arxiv:2310.05734] | ||
|- | |- | ||
|[Ei16] || '''F. Eisele''', ''Blocks with a generalized quaternion defect group and three simple modules over a <math>2</math>-adic ring'', J. Algebra '''456''' (2016), 294-322. | |[Ei16] || '''F. Eisele''', ''Blocks with a generalized quaternion defect group and three simple modules over a <math>2</math>-adic ring'', J. Algebra '''456''' (2016), 294-322. | ||
Line 75: | Line 83: | ||
|[Ei18] || '''F. Eisele''', ''[https://arxiv.org/abs/1807.05110 The Picard group of an order and Külshammer reduction]'', Algebr. Represent. Theory '''24''' (2021), 505-518. | |[Ei18] || '''F. Eisele''', ''[https://arxiv.org/abs/1807.05110 The Picard group of an order and Külshammer reduction]'', Algebr. Represent. Theory '''24''' (2021), 505-518. | ||
|- | |- | ||
− | |[Ei19] || '''F. Eisele''', ''[https://arxiv.org/abs/1908.00129 On the geometry of lattices and finiteness of Picard groups]'', | + | |[Ei19] || '''F. Eisele''', ''[https://arxiv.org/abs/1908.00129 On the geometry of lattices and finiteness of Picard groups]'', J. Reine Angew. Math. '''782''' (2022), 219-333. |
|- | |- | ||
− | |[EiLiv20] || '''F. Eisele and M. Livesey''', ''[https://arxiv.org/abs/2006.13837 Arbitrarily large Morita Frobenius numbers]'', | + | |[EiLiv20] || '''F. Eisele and M. Livesey''', ''[https://arxiv.org/abs/2006.13837 Arbitrarily large Morita Frobenius numbers]'', Algebra Number Theory '''16''' (2022), 1889-1904. |
|- | |- | ||
|[Er82] || '''K. Erdmann''', ''Blocks whose defect groups are Klein four groups: a correction'', J. Algebra '''76''' (1982), 505-518. | |[Er82] || '''K. Erdmann''', ''Blocks whose defect groups are Klein four groups: a correction'', J. Algebra '''76''' (1982), 505-518. | ||
Line 97: | Line 105: | ||
|[FK18] || '''N. Farrell and R. Kessar''', [https://arxiv.org/abs/1805.02015 ''Rationality of blocks of quasi-simple finite groups''], Represent. Theory '''23''' (2019), 325-349. | |[FK18] || '''N. Farrell and R. Kessar''', [https://arxiv.org/abs/1805.02015 ''Rationality of blocks of quasi-simple finite groups''], Represent. Theory '''23''' (2019), 325-349. | ||
|- id="G" | |- id="G" | ||
− | |[GMdelR21] || '''D. Garcia, l. Margolis and A. del Rio''', [https://arxiv.org/abs/2016.07231 ''Non-isomorphic 2-groups with isomorphic modular group algebras''], | + | |[GMdelR21] || '''D. Garcia, l. Margolis and A. del Rio''', [https://arxiv.org/abs/2016.07231 ''Non-isomorphic 2-groups with isomorphic modular group algebras''], J. Reine Angew. Math. '''f783''' (2022), 269–274. |
|- | |- | ||
|[GO97] || '''H. Gollan and T. Okuyama''', ''Derived equivalences for the smallest Janko group'', preprint (1997). | |[GO97] || '''H. Gollan and T. Okuyama''', ''Derived equivalences for the smallest Janko group'', preprint (1997). | ||
Line 103: | Line 111: | ||
|[GT19] || '''R. M. Guralnick and Pham Huu Tiep''', ''Sectional rank and Cohomology'', J. Algebra (2019) https://doi.org/10.1016/j.jalgebra.2019.04.023 | |[GT19] || '''R. M. Guralnick and Pham Huu Tiep''', ''Sectional rank and Cohomology'', J. Algebra (2019) https://doi.org/10.1016/j.jalgebra.2019.04.023 | ||
|- id="H" | |- id="H" | ||
+ | |[HM07] || '''G. T. Helleloid and U. Martin''', ''The automorphism group of a finite <math>p</math>-group is almost always a <math>p</math>-group'', J. Algebra (2007), 294-329. | ||
+ | |- | ||
+ | |[HP94] || '''H-W. Henn and S. Priddy''', ''<math>p</math>-nilpotence, classifying space indecompsability, and other properties of almost finite groups'', Comment. Math. Helvetici (1994), 335-350. | ||
+ | |- | ||
+ | |[Hi63] || '''G. Higman''', ''Suzuki 2-groups'', Illinois J. Math. '''7''' (1963), 79–96. | ||
+ | |- | ||
|[HK00] || '''G. Hiss and R. Kessar''', ''Scopes reduction and Morita equivalence classes of blocks in finite classical groups'', J. Algebra '''230''' (2000), 378-423. | |[HK00] || '''G. Hiss and R. Kessar''', ''Scopes reduction and Morita equivalence classes of blocks in finite classical groups'', J. Algebra '''230''' (2000), 378-423. | ||
|- | |- | ||
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|- | |- | ||
|[KoLa20b] || '''S. Koshitani and C. Lassueur''', ''Splendid Morita equivalences for principal blocks with generalised quaternion defect groups'', J. Algebra '''558''' (2020), 523-533. | |[KoLa20b] || '''S. Koshitani and C. Lassueur''', ''Splendid Morita equivalences for principal blocks with generalised quaternion defect groups'', J. Algebra '''558''' (2020), 523-533. | ||
+ | |- | ||
+ | |[KoLaSa22] || '''S. Koshitani, C. Lassueur and B. Sambale''', ''Splendid Morita equivalences for principal blocks with semidihedral defect groups'', Proceedings of the American Mathematical Society '''150''' (2022), 41-53. | ||
+ | |- | ||
+ | |[KoLaSa23] || '''S. Koshitani, C. Lassueur and B. Sambale''', [https://arxiv.org/abs/2310.13621 ''Principal <math>2</math>-blocks with wreathed defect groups up to splendid Morita equivalence''], [https://arxiv.org/abs/2310.13621 arxiv:2310.13621] | ||
|- | |- | ||
|[Kü80] || '''B. Külshammer''', ''On 2-blocks with wreathed defect groups'', J. Algebra '''64''' (1980), 529–555. | |[Kü80] || '''B. Külshammer''', ''On 2-blocks with wreathed defect groups'', J. Algebra '''64''' (1980), 529–555. | ||
Line 169: | Line 187: | ||
|[Li18d] || '''M. Linckelmann''', ''The block theory of finite group algebras, Volume 2'', London Math. Soc. Student Texts '''92''', Cambridge University Press (2018). | |[Li18d] || '''M. Linckelmann''', ''The block theory of finite group algebras, Volume 2'', London Math. Soc. Student Texts '''92''', Cambridge University Press (2018). | ||
|- | |- | ||
− | |[LM20] || '''M. Linckelmann and W. Murphy''', [https://arxiv.org/abs/2005.02223 ''A 9-dimensional algebra which is not a block of a finite group''], | + | |[LM20] || '''M. Linckelmann and W. Murphy''', [https://arxiv.org/abs/2005.02223 ''A 9-dimensional algebra which is not a block of a finite group''], Quarterly Journal of Mathematics 72 (2021), 1077–1088 |
|- | |- | ||
|[Liv19] || '''M. Livesey''', [https://arxiv.org/abs/1907.12167 ''On Picard groups of blocks with normal defect groups''], J. Algebra '''566''' (2021), 94-118. | |[Liv19] || '''M. Livesey''', [https://arxiv.org/abs/1907.12167 ''On Picard groups of blocks with normal defect groups''], J. Algebra '''566''' (2021), 94-118. | ||
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|[LiMa20b] || '''M. Livesey and C. Marchi''', [https://arxiv.org/abs/2008.05857 ''Picard groups for blocks with normal defect groups and linear source bimodules''], [https://arxiv.org/abs/2008.05857 arXiv:2008.05857] | |[LiMa20b] || '''M. Livesey and C. Marchi''', [https://arxiv.org/abs/2008.05857 ''Picard groups for blocks with normal defect groups and linear source bimodules''], [https://arxiv.org/abs/2008.05857 arXiv:2008.05857] | ||
|- id="M" | |- id="M" | ||
− | |[Mar] || ''' | + | |[Mac] || '''N. Macgregor''', ''Morita equivalence classes of tame blocks of finite groups'', J. Algebra '''608''' (2022), 719-754. |
+ | |- | ||
+ | |[Mar] || '''C. Marchi''', ''Picard groups for blocks'', PhD thesis, University of Manchester (2022) | ||
+ | |- | ||
+ | |[Ma86] || '''U. Martin''', ''Almost all <math>p</math>-groups have automorphism group a <math>p</math>-group'', Bull. AMS '''15''' (1986), 78-82. | ||
|- | |- | ||
|[McK19] || '''E. McKernon''', [https://arxiv.org/abs/1912.03222 ''2-Blocks whose defect group is homocyclic and whose inertial quotient contains a Singer cycle''], J. Algebra '''563''' (2020), 30–48. | |[McK19] || '''E. McKernon''', [https://arxiv.org/abs/1912.03222 ''2-Blocks whose defect group is homocyclic and whose inertial quotient contains a Singer cycle''], J. Algebra '''563''' (2020), 30–48. | ||
Line 225: | Line 247: | ||
|[Sc91] || '''J. Scopes''', ''Cartan matrices and Morita equivalence for blocks of the symmetric groups'', J. Algebra '''142''' (1991), 441-455. | |[Sc91] || '''J. Scopes''', ''Cartan matrices and Morita equivalence for blocks of the symmetric groups'', J. Algebra '''142''' (1991), 441-455. | ||
|- | |- | ||
− | |[Sh20] || '''V. Shalotenko''', ''Bounds on the dimension of Ext for finite groups'', J. Algebra '''550''' (2020), 266-289. | + | |[Sh20] || '''V. Shalotenko''', ''Bounds on the dimension of Ext for finite groups of Lie type'', J. Algebra '''550''' (2020), 266-289. |
|- | |- | ||
|[St02] || '''R. Stancu''', ''Almost all generalized extraspecial p-groups are resistant'', J. Algebra '''249''' (2002), 120-126. | |[St02] || '''R. Stancu''', ''Almost all generalized extraspecial p-groups are resistant'', J. Algebra '''249''' (2002), 120-126. | ||
|- | |- | ||
|[St06] || '''R. Stancu''', ''Control of fusion in fusion systems'', J. Algebra and its Applications '''5''' (2006), 817-837. | |[St06] || '''R. Stancu''', ''Control of fusion in fusion systems'', J. Algebra and its Applications '''5''' (2006), 817-837. | ||
+ | |- id="T" | ||
+ | |[Th93] || '''J. Thévenaz''', ''Most finite groups are <math>p</math>-nilpotent'', Exposition. Math. '''11''' (1993), 359-363. | ||
|- id="V" | |- id="V" | ||
|[vdW91] || '''R. van der Waall''', ''On p-nilpotent forcing groups'', Indag. Mathem., N.S., '''2''' (1991), 367-384. | |[vdW91] || '''R. van der Waall''', ''On p-nilpotent forcing groups'', Indag. Mathem., N.S., '''2''' (1991), 367-384. |
Revision as of 11:20, 9 January 2024
A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T U, V, W, X, Y, Z,
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[AE04] | Jianbei An and C. W. Eaton, Morita equivalence classes of blocks with extraspecial defect groups [math]p_+^{1+2}[/math], arxiv:2310.02150 |
[Ar19] | C. G. Ardito, Morita equivalence classes of blocks with elementary abelian defect groups of order 32, J. Algebra 573 (2021), 297-335. |
[ArMcK20] | C. G. Ardito and E. McKernon, 2-blocks with an abelian defect group and a freely acting cyclic inertial quotient, arxiv.org/abs/2010.08329 |
[AS20] | C. G. Ardito and B. Sambale, Broué's Conjecture for 2-blocks with elementary abelian defect groups of order 32, Advances in Group Theory and Applications 12 (2021), 71–78. |
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[BK07] | D. Benson and R. Kessar, Blocks inequivalent to their Frobenius twists, J. Algebra 315 (2007), 588-599. |
[BS23] | D. Benson and B. Sambale, Finite dimensional algebras not arising as blocks in group algebras, arxiv:2301.10537 |
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[Ea24] | C. W. Eaton, Blocks whose defect groups are Suzuki 2-groups, arXiv:2401.04028 |
[EEL18] | C. W. Eaton, F. Eisele and M. Livesey, Donovan's conjecture, blocks with abelian defect groups and discrete valuation rings, Math. Z. 295 (2020), 249-264. |
[EKKS14] | C. W. Eaton, R. Kessar, B. Külshammer and B. Sambale, [math]2[/math]-blocks with abelian defect groups, Adv. Math. 254 (2014), 706-735. |
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[EL20] | C. W. Eaton and M. Livesey, Donovan's conjecture and extensions by the centralizer of a defect group, J. Algebra 582 (2021), 157-176. |
[EL23] | C. W. Eaton and M. Livesey, Morita equivalence classes of [math]2[/math]-blocks with abelian defect groups of rank [math]4[/math], arxiv:2310.05734 |
[Ei16] | F. Eisele, Blocks with a generalized quaternion defect group and three simple modules over a [math]2[/math]-adic ring, J. Algebra 456 (2016), 294-322. |
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[EiLiv20] | F. Eisele and M. Livesey, Arbitrarily large Morita Frobenius numbers, Algebra Number Theory 16 (2022), 1889-1904. |
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[GMdelR21] | D. Garcia, l. Margolis and A. del Rio, Non-isomorphic 2-groups with isomorphic modular group algebras, J. Reine Angew. Math. f783 (2022), 269–274. |
[GO97] | H. Gollan and T. Okuyama, Derived equivalences for the smallest Janko group, preprint (1997). |
[GT19] | R. M. Guralnick and Pham Huu Tiep, Sectional rank and Cohomology, J. Algebra (2019) https://doi.org/10.1016/j.jalgebra.2019.04.023 |
[HM07] | G. T. Helleloid and U. Martin, The automorphism group of a finite [math]p[/math]-group is almost always a [math]p[/math]-group, J. Algebra (2007), 294-329. |
[HP94] | H-W. Henn and S. Priddy, [math]p[/math]-nilpotence, classifying space indecompsability, and other properties of almost finite groups, Comment. Math. Helvetici (1994), 335-350. |
[Hi63] | G. Higman, Suzuki 2-groups, Illinois J. Math. 7 (1963), 79–96. |
[HK00] | G. Hiss and R. Kessar, Scopes reduction and Morita equivalence classes of blocks in finite classical groups, J. Algebra 230 (2000), 378-423. |
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