(The Third Biennial International Group Theory Conference (3BIGTC2015 , 2015-01-28

Title : ( Some results on the generalized non commuting graph of a finite group )

Authors: Somayeh Ghayekhloo , بهناز طلوع حقیقی , Ahmad Erfanian ,

Citation: BibTeX | EndNote

Abstract. In this talk, we define the generalized non-commuting graph denoted by (H;K), where H and K are two subgroups of a non-ablian group G. Take (H [ K) n (CH(K) [ CK(H)) as the vertex set of the graph and two distinct vertices x and y join by an edge, whenever x or y in H and [x; y] = 1. We obtain diameter and girth of this graph and discuss about dominating set and planarity of (H;K). Moreover, we try to find a connection between (H;K) and the relative commutativity degree of two subgroups denoted by d(H;K). Furthermore, we prove that if (H1;G) = (H2;G) then H1 = H2 .

Keywords

, Commutativity degree, relative commutativity degree, non-commuting graph, relative non- commuting
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@inproceedings{paperid:1047241,
author = {Ghayekhloo, Somayeh and بهناز طلوع حقیقی and Erfanian, Ahmad},
title = {Some results on the generalized non commuting graph of a finite group},
booktitle = {(The Third Biennial International Group Theory Conference (3BIGTC2015},
year = {2015},
location = {IRAN},
keywords = {Commutativity degree; relative commutativity degree; non-commuting graph; relative non- commuting graph.},
}

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%0 Conference Proceedings
%T Some results on the generalized non commuting graph of a finite group
%A Ghayekhloo, Somayeh
%A بهناز طلوع حقیقی
%A Erfanian, Ahmad
%J (The Third Biennial International Group Theory Conference (3BIGTC2015
%D 2015

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