Extreme pairs for finite groups |
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| Authors: | V.I. Loginov S.V. Tsaranov |
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| Affiliation: | Institute for System Studies , Academy of Sciences of the U.S S R , Ryleev Street 29, Moscow , 119034 , U S S R |
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| Abstract: | Let G be a finite group with.O2(G) = 1. If V is a faithful GF(2)G-module, then 𝔓 (G,V) is the set of elementary abelian 2-subgroups A of G with m(A) ? m(V/CV(A)). A pair G,V is an extreme pair if 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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