{"title":"The rank of the factor-group modulo the hypercenter and the rank of the some hypocenter of a group","authors":"L. A. Kurdachenko, J. Otal","doi":"10.2478/s11533-013-0284-y","DOIUrl":null,"url":null,"abstract":"We compare the special rank of the factors of the upper central series and terms of the lower central series of a group. As a consequence we are able to show some generalizations of a theorem of Reinhold Baer.","PeriodicalId":50988,"journal":{"name":"Central European Journal of Mathematics","volume":"105 1","pages":"1732-1741"},"PeriodicalIF":0.0000,"publicationDate":"2013-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"18","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Central European Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/s11533-013-0284-y","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 18
Abstract
We compare the special rank of the factors of the upper central series and terms of the lower central series of a group. As a consequence we are able to show some generalizations of a theorem of Reinhold Baer.
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