{"title":"由奇酉群规范化的群","authors":"E. Voronetsky","doi":"10.1090/spmj/1630","DOIUrl":null,"url":null,"abstract":"We will give a definition of quadratic forms on bimodules and prove the sandwich classification theorem for subgroups of the general linear group $\\mathrm{GL}(P)$ normalized by the elementary unitary group $\\mathrm{EU}(P)$ if $P$ is a nondegenerate bimodule with large enough hyperbolic part.","PeriodicalId":8427,"journal":{"name":"arXiv: Group Theory","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2019-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Groups normalized by the odd unitary group\",\"authors\":\"E. Voronetsky\",\"doi\":\"10.1090/spmj/1630\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We will give a definition of quadratic forms on bimodules and prove the sandwich classification theorem for subgroups of the general linear group $\\\\mathrm{GL}(P)$ normalized by the elementary unitary group $\\\\mathrm{EU}(P)$ if $P$ is a nondegenerate bimodule with large enough hyperbolic part.\",\"PeriodicalId\":8427,\"journal\":{\"name\":\"arXiv: Group Theory\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-02-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv: Group Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1090/spmj/1630\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Group Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/spmj/1630","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We will give a definition of quadratic forms on bimodules and prove the sandwich classification theorem for subgroups of the general linear group $\mathrm{GL}(P)$ normalized by the elementary unitary group $\mathrm{EU}(P)$ if $P$ is a nondegenerate bimodule with large enough hyperbolic part.