References

From Block library
Jump to: navigation, search

This page will contain references for the entire site. The list below is first work on the reference list.

[Al79] J. L. Alperin, Projective modules for [math]SL(2,2^n)[/math], J. Pure and Applied Algebra 15 (1979), 219-234.
[Al80] J. L. Alperin, Local representation theory, The Santa Cruz Conference on Finite Groups., Proc. Sympos. Pure Math. 37 (1980), 369-375.
[AE04] Jianbei An and C. W. Eaton, Blocks with trivial intersection defect groups, Math. Z. 247 (2004), 461-486.
[AKO11] M. Aschbacher, R. Kessar and B. Oliver, Fusion systems in algebra and topology, London Mathematical Society Lecture Notes 391, Cambridge University Press (2011).
[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.
[BP80b] M. Broué and L. Puig, Characters and local structure in G-algebras, J. Algebra 63 (1980), 306-317.
[Cr11] D. A. Craven, The Theory of Fusion Systems: An Algebraic Approach, Cambridge University Press (2011).
[Cr12] D. A. Craven, Perverse Equivalences and Broué's Conjecture II: The Cyclic Case, arXiv:1207.0116
[CDR18] D. A. Craven, O. Dudas and R. Rouquier, The Brauer trees of unipotent blocks, to appear, J. EMS, arXiv:1701.07097
[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.
[CG12] D. A. Craven and A. Glesser, Fusion systems on small p-groups, Trans. AMS (2012), 5945-5967.
[CR13] D. A. Craven and R. Rouquier, Perverse equivalences and Broué's conjecture, Adv. Math. 248 (2013), 1-58.
[Du14] O. Dudas, Coxeter orbits and Brauer trees II, Int. Math. Res. Not. 15 (2014), 4100-4123.
[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
[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, J. Algebra 515 (2018), 1-18.
[EL18b] C. W. Eaton and M. Livesey, Donovan's conjecture and blocks with abelian defect groups, to appear, Proc. AMS
[EL18c] C. W. Eaton and M. Livesey, Some examples of Picard groups of blocks, arXiv:1810.10950
[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.
[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
[GO97] H. Gollan and T. Okuyama, Derived equivalences for the smallest Janko group, preprint (1997).
[HK00] G. Hiss and R. Kessar, Scopes reduction and Morita equivalence classes of blocks in finite classical groups, J. Algebra 230 (2000), 378-423.
[HK05] G. Hiss and R. Kessar, Scopes reduction and Morita equivalence classes of blocks in finite classical groups II, J. Algebra 283 (2005), 522-563.
[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.
[Jo96] T. Jost, Morita equivalences for blocks of finite general linear groups, Manuscripta Math. 91 (1996), 121-144.
[Ke96] R. Kessar, Blocks and source algebras for the double covers of the symmetric and alternating groups, J. Algebra 186 (1996), 872-933.
[Ke00] R. Kessar, Equivalences for blocks of the Weyl groups, Proc. Amer. Math. Soc. 128 (2000), 337-346.
[Ke01] R. Kessar, Source algebra equivalences for blocks of finite general linear groups over a fixed field, Manuscripta Math. 104 (2001), 145-162.
[Ke02] R. Kessar, Scopes reduction for blocks of finite alternating groups, Quart. J. Math. 53 (2002), 443-454.
[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.
[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.
[Kü80] B. Külshammer, On 2-blocks with wreathed defect groups, J. Algebra 64 (1980), 529–555.
[Kü81] B. Külshammer, On p-blocks of p-solvable groups, Comm. Alg. 9 (1981), 1763-1785.
[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.
[LM80] P. Landrock and G. O. Michler, Principal 2-blocks of the simple groups of Ree type, Trans. AMS 260 (1980), 83-111.
[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).
[Pu94] L. Puig, On Joanna Scopes’ criterion of equivalence for blocks of symmetric groups, Algebra Colloq. 1 (1994), 25-55.
[Pu09] L. Puig, Block source algebras in p-solvable groups, Michigan Math. J. 58 (2009), 323-338.
[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.
[Sa13c] B. Sambale, Further evidence for conjectures in block theory, Algebra Number Theory 7 (2013), 2241–2273.
[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.
[Sc91] J. Scopes, Cartan matrices and Morita equivalence for blocks of the symmetric groups, J. Algebra 142 (1991), 441-455.
[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], J. Algebra 510 (2018), 469-498.