{"title":"古典团体作为Frobenius的补充","authors":"Mohammadreza Darefsheh, Hadiseh Saydi","doi":"10.12958/adm1929","DOIUrl":null,"url":null,"abstract":"The Frobenius group G belongs to an important class of groups that more than 100 years ago was defined by F. G. Frobenius who proved that G is a semi-direct product of a normal subgroup K of G called kernel by another non-trivial subgroup H called the complement. In this case we show that a few of the classical finite groups can be Frobenius complement.","PeriodicalId":44176,"journal":{"name":"Algebra & Discrete Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Classical groups as Frobenius complement\",\"authors\":\"Mohammadreza Darefsheh, Hadiseh Saydi\",\"doi\":\"10.12958/adm1929\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The Frobenius group G belongs to an important class of groups that more than 100 years ago was defined by F. G. Frobenius who proved that G is a semi-direct product of a normal subgroup K of G called kernel by another non-trivial subgroup H called the complement. In this case we show that a few of the classical finite groups can be Frobenius complement.\",\"PeriodicalId\":44176,\"journal\":{\"name\":\"Algebra & Discrete Mathematics\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Algebra & Discrete Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12958/adm1929\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Algebra & Discrete Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12958/adm1929","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
摘要
Frobenius群G属于100多年前由F. G. Frobenius定义的一类重要群，他证明了G是G的正规子群K(称为核)与另一个非平凡子群H(称为补)的半直积。在这种情况下，我们证明了一些经典有限群可以是Frobenius补。
The Frobenius group G belongs to an important class of groups that more than 100 years ago was defined by F. G. Frobenius who proved that G is a semi-direct product of a normal subgroup K of G called kernel by another non-trivial subgroup H called the complement. In this case we show that a few of the classical finite groups can be Frobenius complement.
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