References
This page will contain references for the entire site. The list below is first work on the reference list.
[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, On Picard groups of blocks of finite groups, arXiv:1805.08902 |
[BP80] | M. Broué and L. Puig, A Frobenius theorem for blocks, Invent. Math. 56 (1980), 117-128. |
[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. |
[Dü04] | O. Düvel, On Donovan's conjecture, J. Algebra 272 (2004), 1-26. |
[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 |
[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 |
[Er82] | K. Erdmann, Blocks whose defect groups are Klein four groups: a correction, J. Algebra 76 (1982), 505-518. |
[Er87] | K. Erdmann, Algebras and dihedral defect groups, Proc. LMS 54 (1987), 88-114. |
[Er88a] | K. Erdmann, Algebras and quaternion defect groups, I, Math. Ann. 281 (1988), 545-560. |
[Er88b] | K. Erdmann, Algebras and quaternion defect groups, II, Math. Ann. 281 (1988), 561-582. |
[Er88c] | K. Erdmann, Algebras and semidihedral defect groups I, Proc. LMS 57 (1988), 109-150. |
[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 |
[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. |
[Ko03] | S. Koshitani, Conjectures of Donovan and Puig for principal [math]3[/math]-blocks with abelian defect groups, Comm. Alg. 31 (2003), 2229-2243; Corrigendum, 32 (2004), 391-393. |
[Kü95] | B. Külshammer, Donovan's conjecture, crossed products and algebraic group actions, Israel J. Math. 92 (1995), 295-306. |
[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 |
[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. |
[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 |