On groups with specified quotient power graphs

Abstract. In this paper we study some relations between the power andquotient power graph of a finite group. These interesting relations motivateus to find some graph theoretical properties of the quotient power graphand the proper quotient power graph of a finite group G. In addition, weclassify th...

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Bibliographic Details
Main Authors:	Mostafa Shaker, Mohammadali Iranmanesh
Format:	Article
Language:	English
Published:	University of Isfahan 2016-09-01
Series:	International Journal of Group Theory
Subjects:	Quotient power graph Fitting subgroup full exponent
Online Access:	http://www.theoryofgroups.ir/article_8542_509bbaa7e2f6d1914700fada90e92c69.pdf

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spelling	doaj-d3425c5b76554c888df084c88594c62e2020-11-24T22:55:24ZengUniversity of IsfahanInternational Journal of Group Theory2251-76502251-76692016-09-015349608542On groups with specified quotient power graphsMostafa Shaker0Mohammadali Iranmanesh1Yazd UniversityYazd UniversityAbstract. In this paper we study some relations between the power andquotient power graph of a finite group. These interesting relations motivateus to find some graph theoretical properties of the quotient power graphand the proper quotient power graph of a finite group G. In addition, weclassify those groups whose quotient (proper quotient) power graphs areisomorphic to trees or paths.http://www.theoryofgroups.ir/article_8542_509bbaa7e2f6d1914700fada90e92c69.pdfQuotient power graphFitting subgroupfull exponent
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Mostafa Shaker Mohammadali Iranmanesh
spellingShingle	Mostafa Shaker Mohammadali Iranmanesh On groups with specified quotient power graphs International Journal of Group Theory Quotient power graph Fitting subgroup full exponent
author_facet	Mostafa Shaker Mohammadali Iranmanesh
author_sort	Mostafa Shaker
title	On groups with specified quotient power graphs
title_short	On groups with specified quotient power graphs
title_full	On groups with specified quotient power graphs
title_fullStr	On groups with specified quotient power graphs
title_full_unstemmed	On groups with specified quotient power graphs
title_sort	on groups with specified quotient power graphs
publisher	University of Isfahan
series	International Journal of Group Theory
issn	2251-7650 2251-7669
publishDate	2016-09-01
description	Abstract. In this paper we study some relations between the power andquotient power graph of a finite group. These interesting relations motivateus to find some graph theoretical properties of the quotient power graphand the proper quotient power graph of a finite group G. In addition, weclassify those groups whose quotient (proper quotient) power graphs areisomorphic to trees or paths.
topic	Quotient power graph Fitting subgroup full exponent
url	http://www.theoryofgroups.ir/article_8542_509bbaa7e2f6d1914700fada90e92c69.pdf
work_keys_str_mv	AT mostafashaker ongroupswithspecifiedquotientpowergraphs AT mohammadaliiranmanesh ongroupswithspecifiedquotientpowergraphs
_version_	1725656436907704320

On groups with specified quotient power graphs

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