References
Revision as of 08:30, 12 October 2018 by Charles Eaton (talk | contribs) ([Li18c] and [Li18d] (book))
This page will contain references for the entire site. The list below is first work on the reference list.
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[AKO11] | M. Aschbacher, R. Kessar and B. Oliver, Fusion systems in algebra and topology, London Mathematical Society Lecture Notes 391, Cambride University Press (2011). |
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[BKL18] | R. Boltje, R. Kessar, and M. Linckelmann, On Picard groups of blocks of finite groups, arXiv:1805.08902 |
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[Cr11] | D. A. Craven, The Theory of Fusion Systems: An Algebraic Approach, Cambridge University Press (2011). |
[CEKL11] | D. A. Craven, C. W. Eaton, R. Kessar and M. Linckelmann, The structure of blocks with a Klein four defect group, Math. Z. 268 (2011), 441-476. |
[CR13] | D. A. Craven and R. Rouquier, Perverse equivalences and Broué's conjecture, Adv. Math. 248 (2013), 1-58. |
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[Ea16] | C. W. Eaton, Morita equivalence classes of [math]2[/math]-blocks of defect three, Proc. AMS 144 (2016), 1961-1970. |
[Ea18] | C. W. Eaton, Morita equivalence classes of blocks with elementary abelian defect groups of order 16, arXiv:1612.03485 |
[EEL18] | C. W. Eaton, F. Eisele and M. Livesey, Donovan's conjecture, blocks with abelian defect groups and discrete valuation rings, arXiv:1809.08152 |
[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. |
[EKS12] | C. W. Eaton, B. Külshammer and B. Sambale, [math]2[/math]-blocks with minimal nonabelian defect groups, II, J. Group Theory 15 (2012), 311-321. |
[EL18a] | C. W. Eaton and M. Livesey, Classifying blocks with abelian defect groups of rank 3 for the prime 2, to appear, J. Algebra |
[EL18b] | C. W. Eaton and M. Livesey, Donovan's conjecture and blocks with abelian defect groups, to appear, Proc. AMS |
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[Er88b] | K. Erdmann, Algebras and quaternion defect groups, II, Math. Ann. 281 (1988), 561-582. |
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[Er90] | K. Erdmann, Blocks of tame representation type and related algebras, Lecture Notes in Mathematics 1428, Springer-Verlag (1990). |
[Er90b] | K. Erdmann, Algebras and semidihedral defect groups II, Proc. LMS 60 (1990), 123-165. |
[FK18] | N. Farrell and R. Kessar, Rationality of blocks of quasi-simple finite groups, arXiv:1805.02015 |
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[Ho97] | T. Holm, Derived equivalent tame blocks, J. Algebra 194 (1997), 178-200. |
[HKL07] | T. Holm, R. Kessar and M. Linckelmann, Blocks with a quaternion defect group over a 2-adic ring: the case [math]\tilde{A}_4[/math], Glasgow Math. J. 49 (2007), 29–43. |
[Ke05] | R. Kessar, A remark on Donovan's conjecture, Arch. Math (Basel) 82 (2005), 391-394. |
[Ki84] | M. Kiyota, On 3-blocks with an elementary abelian defect group of order 9, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 31 (1984), 33–58. |
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[Kü95] | B. Külshammer, Donovan's conjecture, crossed products and algebraic group actions, Israel J. Math. 92 (1995), 295-306. |
[KS13] | B. Külshammer and B. Sambale, The 2-blocks of defect 4, Representation Theory 17 (2013), 226-236. |
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[Li94] | M. Linckelmann, The source algebras of blocks with a Klein four defect group, J. Algebra 167 (1994), 821-854. |
[Li94b] | M. Linckelmann, A derived equivalence for blocks with dihedral defect groups, J. Algebra 164 (1994), 244-255. |
[Li96] | M. Linckelmann, The isomorphism problem for cyclic blocks and their source algebras, Invent. Math. 125 (1996), 265-283. |
[Li18] | M. Linckelmann, The strong Frobenius numbers for cyclic defect blocks are equal to one, arXiv:1805.08884 |
[Li18b] | M. Linckelmann, Finite-dimensional algebras arising as blocks of finite group algebras, Contemporary Mathematics 705 (2018), 155-188. |
[Li18c] | M. Linckelmann, The block theory of finite group algebras, Volume 1, 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). |
[Ok97] | T. Okuyama, Some examples of derived equivalent blocks of finite groups, preprint (1997). |
[Ri96] | J. Rickard, Splendid equivalences: derived categories and permutation modules, Proc. London Math. Soc. 72 (1996), 331-358. |
[Ro95] | R. Rouquier, From stable equivalences to Rickard equivalences for blocks with cyclic defect, Proceedings of Groups 1993, Galway-St. Andrews Conference, Vol. 2, London Math. Soc. Lecture Note Ser. 212, Cambridge University Press (1995), 512-523. |
[Sa11] | B. Sambale, [math]2[/math]-blocks with minimal nonabelian defect groups, J. Algebra 337 (2011), 261–284. |
[Sa12] | B. Sambale, Blocks with defect group [math]D_{2^n} \times C_{2^m}[/math], J. Pure Appl. Algebra 216 (2012), 119–125. |
[Sa12b] | B. Sambale, Fusion systems on metacyclic 2-groups, Osaka J. Math. 49 (2012), 325–329. |
[Sa13] | B. Sambale, Blocks with defect group [math]Q_{2^n} \times C_{2^m}[/math] and [math]SD_{2^n} \times C_{2^m}[/math], Algebr. Represent. Theory 16 (2013), 1717–1732. |
[Sa13b] | B. Sambale, Blocks with central product defect group [math]D_{2^n} ∗ C_{2^m}[/math], Proc. Amer. Math. Soc. 141 (2013), 4057–4069. |
[Sa14] | B. Sambale, Blocks of Finite Groups and Their Invariants, Lecture Notes in Mathematics, Springer (2014). |
[SSS98] | M. Schaps, D. Shapira and O. Shlomo, Quivers of blocks with normal defect groups, Proc. Symp. in Pure Mathematics 63, Amer. Math. Soc. (1998), 497-510. |
[WZZ18] | Chao Wu, Kun Zhang and Yuanyang Zhou, Blocks with defect group [math]Z_{2^n} \times Z_{2^n} \times Z_{2^m}[/math], to appear, J. Algebra |