{"title":"群代数的乘法群的恩格尔性质","authors":"A. Bovdi, I. I. Khripta","doi":"10.1070/SM1992V072N01ABEH001265","DOIUrl":null,"url":null,"abstract":"The structure of the multiplicative group of a group algebra is studied. The main problem is that of describing the structure of groups whose group algebras over a given field have multiplicative groups satisfying an Engel (or bounded Engel) condition.","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"19 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"ENGEL PROPERTIES OF THE MULTIPLICATIVE GROUP OF A GROUP ALGEBRA\",\"authors\":\"A. Bovdi, I. I. Khripta\",\"doi\":\"10.1070/SM1992V072N01ABEH001265\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The structure of the multiplicative group of a group algebra is studied. The main problem is that of describing the structure of groups whose group algebras over a given field have multiplicative groups satisfying an Engel (or bounded Engel) condition.\",\"PeriodicalId\":208776,\"journal\":{\"name\":\"Mathematics of The Ussr-sbornik\",\"volume\":\"19 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-sbornik\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/SM1992V072N01ABEH001265\",\"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-sbornik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/SM1992V072N01ABEH001265","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
ENGEL PROPERTIES OF THE MULTIPLICATIVE GROUP OF A GROUP ALGEBRA
The structure of the multiplicative group of a group algebra is studied. The main problem is that of describing the structure of groups whose group algebras over a given field have multiplicative groups satisfying an Engel (or bounded Engel) condition.