Indian Journal of Science and Technology, ( ISI ), Volume (7), No (12), Year (2014-12) , Pages (2113-2117)

Title : ( The Orbit Graph of Finite p-Groups and Groups of Order pq )

Authors: S. M. S. Omer , N. H. Sarmin , Ahmad Erfanian ,

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In this paper G denotes a finite p-group and Γ denotes a simple undirected graph. The orbit graph is a graph whose vertices are non-central orbit under group action of G on a set. Two vertices v1 and v2 are adjacent in the graph if vg v12= where vv12,,∈Ω and gG∈ . In this paper, the orbit graph of some finite p-groups and group of order pq, where p and q are relatively prime, is found. The orbit graph is determined for the group in the case that a group acts regularly on itself, acts on itself by conjugation, and acts on a set. Besides, some graph properties are found.Key words: Orbit Graph; p-Groups and Group of Order

Keywords

, Orbit Graph; p, Groups and Group of Order
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@article{paperid:1047159,
author = {S. M. S. Omer and N. H. Sarmin and Erfanian, Ahmad},
title = {The Orbit Graph of Finite p-Groups and Groups of Order pq},
journal = {Indian Journal of Science and Technology},
year = {2014},
volume = {7},
number = {12},
month = {December},
issn = {0974-6846},
pages = {2113--2117},
numpages = {4},
keywords = {Orbit Graph; p-Groups and Group of Order pq},
}

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%0 Journal Article
%T The Orbit Graph of Finite p-Groups and Groups of Order pq
%A S. M. S. Omer
%A N. H. Sarmin
%A Erfanian, Ahmad
%J Indian Journal of Science and Technology
%@ 0974-6846
%D 2014

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