{"title":"关于具有指定商幂图的群","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":"{\"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}","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}
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.