Cohomology algebras of 2-blocks of finite groups with defect groups of rank two

[摘要] We shall calculate the cohomology algebras of 2-blocks of tame type and with wreathed defect groups; the cohomology algebra of B under consideration, in the sense of M. Linckelmann, is determined by particular B-subpairs, which we shall specify. In particular, depending our description of the cohomology algebras, we shall define corestriction maps between cohomology algebras of blocks which correspond under Brauer correspondence. (c) 2006 Elsevier Inc. All rights reserved.

[发布日期] 2006-12-15

[关键词] finite group;modular representation;block ideal;Brauer correspondence;cohomology algebra;transfer map