A refinement of Alperin's Conjecture for blocks of the endomorphism algebra of the Sylow permutation module

作者：Barker Laurence^*; Tuvay Ipek^*

来源：ARCHIV DER MATHEMATIK, 2016, 106(1): 15-20.

DOI：10.1007/s00013-015-0851-5

• Weight module
• Cyclic defect group
• Connected module

We present a refinement of Alperin's Conjecture involving the blocks of the endomorphism algebra of the permutation module formed by the cosets of a p-subgroup. We prove the conjecture in two special cases where every weight module has a simple socle.

• 出版日期2016-1