{"title":"论有限群的 ICΦ 子群和 p-hypercyclically embedded 结构","authors":"Jia Zhang, Xiao Huang, Yanhui Xiang","doi":"10.1142/s0219498825503062","DOIUrl":null,"url":null,"abstract":"A subgroup [Formula: see text] of a group [Formula: see text] is said to be an [Formula: see text]-subgroup of [Formula: see text] if [Formula: see text]. In this paper, based on research work of Kaspczyk, we analyze [Formula: see text]-hypercyclically embedded structure of a finite group [Formula: see text] under the assumption that some given [Formula: see text]-subgroups of [Formula: see text] are [Formula: see text]-subgroups of [Formula: see text]. Also, all [Formula: see text]-subgroups of symmetric group [Formula: see text] are determined.","PeriodicalId":508127,"journal":{"name":"Journal of Algebra and Its Applications","volume":"9 7","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On ICΦ-subgroups and p-hypercyclically embedded structure of finite groups\",\"authors\":\"Jia Zhang, Xiao Huang, Yanhui Xiang\",\"doi\":\"10.1142/s0219498825503062\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A subgroup [Formula: see text] of a group [Formula: see text] is said to be an [Formula: see text]-subgroup of [Formula: see text] if [Formula: see text]. In this paper, based on research work of Kaspczyk, we analyze [Formula: see text]-hypercyclically embedded structure of a finite group [Formula: see text] under the assumption that some given [Formula: see text]-subgroups of [Formula: see text] are [Formula: see text]-subgroups of [Formula: see text]. Also, all [Formula: see text]-subgroups of symmetric group [Formula: see text] are determined.\",\"PeriodicalId\":508127,\"journal\":{\"name\":\"Journal of Algebra and Its Applications\",\"volume\":\"9 7\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Algebra and Its Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1142/s0219498825503062\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Algebra and Its Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/s0219498825503062","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On ICΦ-subgroups and p-hypercyclically embedded structure of finite groups
A subgroup [Formula: see text] of a group [Formula: see text] is said to be an [Formula: see text]-subgroup of [Formula: see text] if [Formula: see text]. In this paper, based on research work of Kaspczyk, we analyze [Formula: see text]-hypercyclically embedded structure of a finite group [Formula: see text] under the assumption that some given [Formula: see text]-subgroups of [Formula: see text] are [Formula: see text]-subgroups of [Formula: see text]. Also, all [Formula: see text]-subgroups of symmetric group [Formula: see text] are determined.
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