Domination of blocks, fusion systems and hyperfocal subgroups

JOURNAL OF ALGEBRA

卷:549

Article

Coconet, Tiberiu¹  Todea, Constantin-Cosmin^2,3 

[1] Babes Bolyai Univ, Fac Econ & Business Adm, Str Teodor Mihali 58-60, RO-400591 Cluj Napoca, Romania

[2] Tech Univ Cluj Napoca, Dept Math, Str G Baritiu 25, Cluj Napoca 400027, Romania

[3] Romanian Acad, Simion Stoilow Inst Math, POB 1-764, Bucharest 014700, Romania

关键词: Finite;    Group;    Block;    Inertial;    Nilpotent;    Hyperfocal;    Fusion system;    Cohomology;   

DOI  :  10.1016/j.jalgebra.2019.11.037

来源: Elsevier

【 摘 要 】

We aim in this paper to investigate the connections between some properties of blocks and of their dominating blocks. We find conditions to verify that a block is inertial if and only if its dominating block is inertial. In some situations the equality of the factor fusion systems associated with a block and with its Brauer correspondent block give information about the hyperfocal subgroups. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free