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Extreme pairs for finite groups

 

作者: V.I. Loginov,   S.V. Tsaranov,  

 

期刊: Communications in Algebra  （Taylor Available online 1981）
卷期: Volume 9, issue 18  

页码: 1787-1862

 

ISSN:0092-7872

 

年代: 1981

 

DOI:10.1080/00927878108822684

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

LetGbe a finite group with.O2(G) = 1. IfVis a faithful GF(2)G-module, then 𝔓 (G,V) is the set of elementary abelian 2-subgroupsAofGwith m(A) ⩽ m(V/CV(A)). A pairG,Vis anextreme pairif G = < 𝔓 (G,V)>. Such pairs often appears in analysis of 2-local subgroups of characteristic 2-type groups. The following theorem is the main result of this paper.

 

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