{"title":"关于费马小定理的推广","authors":"S. Strunkov","doi":"10.1070/IM1992V038N01ABEH002193","DOIUrl":null,"url":null,"abstract":"We obtain a congruence type arithmetic relation on the set of all triples (G,H,P), where G is a finite group, H is a subgroup, and P is a representation of G by permutations. This relation becomes Fermat's Little Theorem in the case when G=Zp, H=1, and P is the regular representation of G.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"40 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"ON A GENERALIZATION OF FERMAT'S LITTLE THEOREM\",\"authors\":\"S. Strunkov\",\"doi\":\"10.1070/IM1992V038N01ABEH002193\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We obtain a congruence type arithmetic relation on the set of all triples (G,H,P), where G is a finite group, H is a subgroup, and P is a representation of G by permutations. This relation becomes Fermat's Little Theorem in the case when G=Zp, H=1, and P is the regular representation of G.\",\"PeriodicalId\":159459,\"journal\":{\"name\":\"Mathematics of The Ussr-izvestiya\",\"volume\":\"40 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-02-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics of The Ussr-izvestiya\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/IM1992V038N01ABEH002193\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-izvestiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1992V038N01ABEH002193","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We obtain a congruence type arithmetic relation on the set of all triples (G,H,P), where G is a finite group, H is a subgroup, and P is a representation of G by permutations. This relation becomes Fermat's Little Theorem in the case when G=Zp, H=1, and P is the regular representation of G.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
