The gluing problem in the fusion systems of the symmetric, alternating and linear groups

JOURNAL OF ALGEBRA

卷:341

Article

Libman, Assaf

关键词: Equivariant homotopy theory;    Gluing problem;    Alperin's conjecture;    Radical subgroups;    Permutation groups;   

DOI  :  10.1016/j.jalgebra.2011.06.007

来源: Elsevier

【 摘 要 】

A solution to Linckelmann's gluing problem in all fusion systems of blocks yields an alternative formulation of Alperin's weight conjecture. Using Bredon equivariant cohomology techniques we solve the gluing problem in fusion systems (of blocks) which are isomorphic to the fusion systems of the symmetric groups or the alternating groups or GL(d)(q) or SLd(q) at the defining characteristic. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free