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The orbit graph for some finite solvable groups

Let G be a finite non-abelian solvable group and let Ω be the set of all subsets of commuting elements of size two in G. In this paper, we define a graph which is called an orbit graph whose vertices are non-central elements in Ω, where two vertices ν1 and ν2 are adjacent in the graph whenever ν1g =...

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Main Authors: Omer, S. M. S., Sarmin, Nor Haniza, Erfanian, A.
Format: Conference or Workshop Item
Published: 2014
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/62991/
http://dx.doi.org/10.1063/1.4882585
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spelling my.utm.629912017-10-03T07:22:32Z http://eprints.utm.my/id/eprint/62991/ The orbit graph for some finite solvable groups Omer, S. M. S. Sarmin, Nor Haniza Erfanian, A. QA Mathematics Let G be a finite non-abelian solvable group and let Ω be the set of all subsets of commuting elements of size two in G. In this paper, we define a graph which is called an orbit graph whose vertices are non-central elements in Ω, where two vertices ν1 and ν2 are adjacent in the graph whenever ν1g = ν2, where ν1, ν2 ∈Ω, g ∈G. In this work, we find the orbit graph for some finite solvable groups where a group acts regularly and by conjugation on a set. Besides, some graph properties are found. 2014 Conference or Workshop Item PeerReviewed Omer, S. M. S. and Sarmin, Nor Haniza and Erfanian, A. (2014) The orbit graph for some finite solvable groups. In: The 3rd International Conference on Mathematical Sciences, 2013, Kuala Lumpur, Malaysia. http://dx.doi.org/10.1063/1.4882585
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Omer, S. M. S.
Sarmin, Nor Haniza
Erfanian, A.
The orbit graph for some finite solvable groups
description Let G be a finite non-abelian solvable group and let Ω be the set of all subsets of commuting elements of size two in G. In this paper, we define a graph which is called an orbit graph whose vertices are non-central elements in Ω, where two vertices ν1 and ν2 are adjacent in the graph whenever ν1g = ν2, where ν1, ν2 ∈Ω, g ∈G. In this work, we find the orbit graph for some finite solvable groups where a group acts regularly and by conjugation on a set. Besides, some graph properties are found.
format Conference or Workshop Item
author Omer, S. M. S.
Sarmin, Nor Haniza
Erfanian, A.
author_facet Omer, S. M. S.
Sarmin, Nor Haniza
Erfanian, A.
author_sort Omer, S. M. S.
title The orbit graph for some finite solvable groups
title_short The orbit graph for some finite solvable groups
title_full The orbit graph for some finite solvable groups
title_fullStr The orbit graph for some finite solvable groups
title_full_unstemmed The orbit graph for some finite solvable groups
title_sort orbit graph for some finite solvable groups
publishDate 2014
url http://eprints.utm.my/id/eprint/62991/
http://dx.doi.org/10.1063/1.4882585
_version_ 1643655584299352064
score 13.251813

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