Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis, Volume (23), No (1), Year (2007-1) , Pages (7-13)

Title : ( CHARACTERIZATION OF FINITE GROUPS BY THEIR COMMUTING GRAPH )

Authors: A. Iranmanesh , Abbas Jafarzadeh ,

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The commuting graph of a group G, denoted by Γ( G ), is a simple graph whose vertices are all non-central elements of G and two distinct vertices x, y are adjacent if xy = yx . It is conjectured that if M is a simple group and G is a group satisfying Γ( G ) \cong Γ( M ), then G \cong M . In this paper we prove this conjecture for many simple group.

Keywords

, Simple group, Commuting graph, prime graph, order
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@article{paperid:1027593,
author = {A. Iranmanesh and Jafarzadeh, Abbas},
title = {CHARACTERIZATION OF FINITE GROUPS BY THEIR COMMUTING GRAPH},
journal = {Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis},
year = {2007},
volume = {23},
number = {1},
month = {January},
issn = {1786-0091},
pages = {7--13},
numpages = {6},
keywords = {Simple group; Commuting graph; prime graph; order components},
}

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%0 Journal Article
%T CHARACTERIZATION OF FINITE GROUPS BY THEIR COMMUTING GRAPH
%A A. Iranmanesh
%A Jafarzadeh, Abbas
%J Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis
%@ 1786-0091
%D 2007

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