{"title":"On groups with specified quotient power graphs","authors":"Mostafa Shaker, M. Iranmanesh","doi":"10.22108/IJGT.2016.8542","DOIUrl":null,"url":null,"abstract":"In this paper we study some relations between the power and quotient power graph of a nite group. These interesting relations motivate us to nd some graph theoretical properties of the quotient power graph and the proper quotient power graph of a nite group G. In addition, we classify those groups whose quotient (proper quotient) power graphs are isomorphic to trees or paths.","PeriodicalId":43007,"journal":{"name":"International Journal of Group Theory","volume":"5 1","pages":"49-60"},"PeriodicalIF":0.7000,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Group Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22108/IJGT.2016.8542","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper we study some relations between the power and quotient power graph of a nite group. These interesting relations motivate us to nd some graph theoretical properties of the quotient power graph and the proper quotient power graph of a nite group G. In addition, we classify those groups whose quotient (proper quotient) power graphs are isomorphic to trees or paths.
期刊介绍：
International Journal of Group Theory (IJGT) is an international mathematical journal founded in 2011. IJGT carries original research articles in the field of group theory, a branch of algebra. IJGT aims to reflect the latest developments in group theory and promote international academic exchanges.
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