Centralizers of elements of prime order in locally finite simple groups. Elif Seckin

ISBN: 9780549845058

Published:

NOOKstudy eTextbook

84 pages


Description

Centralizers of elements of prime order in locally finite simple groups.  by  Elif Seckin

Centralizers of elements of prime order in locally finite simple groups. by Elif Seckin
| NOOKstudy eTextbook | PDF, EPUB, FB2, DjVu, AUDIO, mp3, ZIP | 84 pages | ISBN: 9780549845058 | 6.16 Mb

This thesis is mainly focused on the centralizer of elements of prime order. We prove a result which gives all the cases where CG( g1) = CG(g 2) holds for G = PGLK (V) or G = PSLK (V) if V is a finite dimensional K -space and g1, g 2 G of primeMoreThis thesis is mainly focused on the centralizer of elements of prime order.

We prove a result which gives all the cases where CG( g1) = CG(g 2) holds for G = PGLK (V) or G = PSLK (V) if V is a finite dimensional K -space and g1, g 2 ∈ G of prime order r such that r ≠ char K . A similar result is obtained for finite alternating groups. We prove that a simple locally finite group containing an element of prime order p whose centralizer is abelian is either linear or a group of p-type.

Another result presented is that any non-linear simple locally finite group contains a p-subgroup which is not Cernikov. This in turn proves that such a group contains an infinite abelian p-subgroup.



Enter the sum





Related Archive Books



Related Books


Comments

Comments for "Centralizers of elements of prime order in locally finite simple groups.":


ksiazniczki.pl

©2010-2015 | DMCA | Contact us