References - Revision history

Charles Eaton at 11:29, 2 May 2024

2024-05-02T11:29:03Z

2024-01-09T11:20:24Z

[Ea24] and [Hi63]

2023-10-23T16:49:08Z

[KoLaSa23]

2023-10-10T15:51:38Z

[BS23]

2023-10-10T08:20:52Z

[EL23] and updated [Ei19], [EiLiv20]

2023-10-04T09:46:48Z

2023-10-03T08:30:27Z

Added [AE23]

2023-07-28T14:21:28Z

Updated [GMdelR21]

2022-11-09T18:24:00Z

2022-11-09T18:22:28Z

@@ Line 77: / Line 77: @@
 |[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]
+|[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], to appear, J. LMS
 |-
 |[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 60: / 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]
 |-
 |[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.
@@ Line 112: / Line 114: @@
 |-
 |[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.
 |-
 |[HK00] || '''G. Hiss and R. Kessar''', ''Scopes reduction and Morita equivalence classes of blocks in finite classical groups'', J. Algebra '''230''' (2000), 378-423.

@@ Line 150: / Line 150: @@
 |-
 |[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.
 |-
 |[Kü80] || '''B. Külshammer''', ''On 2-blocks with wreathed defect groups'', J. Algebra '''64''' (1980), 529–555.

@@ Line 11: / Line 11: @@
 |[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.org/abs/2310.02150]
+|[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.
@@ Line 22: / Line 22: @@
 |- id="B"
 |[BK07] || '''D. Benson and R. Kessar''', ''Blocks inequivalent to their Frobenius twists'', J. Algebra '''315''' (2007), 588-599.
 |-
 |[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 72: / Line 72: @@
 |-
 |[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.
 |-
 |[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 77: / Line 79: @@
 |[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]'', [https://arxiv.org/abs/1908.00129 arXiv:1908.00129]
+|[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]'', [https://arxiv.org/abs/2006.13837 arXiv:2006.13837]
+|[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.

@@ Line 97: / Line 97: @@
 |[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"
-|[GMdelR21] || '''D. Garcia, l. Margolis and A. del Rio''', [https://arxiv.org/abs/2016.07231 ''Non-isomorphic 2-groups with isomorphic modular group algebras''], [https://arxiv.org/abs/2016.07231 arXiv:2016.07231]
+|[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).

@@ Line 142: / Line 142: @@
 |-
 |[KoLa20b] || '''S. Koshitani and C. Lassueur''', ''Splendid Morita equivalences for principal blocks with generalised quaternion defect groups'', J. Algebra '''558''' (2020), 523-533.
 |-
 |[Kü80] || '''B. Külshammer''', ''On 2-blocks with wreathed defect groups'', J. Algebra '''64''' (1980), 529–555.
@@ Line 233: / Line 235: @@
 |[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.

@@ Line 173: / Line 173: @@
 |[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''], [https://arxiv.org/abs/2005.02223 arXiv:2005.02223]
+|[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.