Some Results on Baer's Theorem
عنوان مقاله: Some Results on Baer's Theorem
شناسه ملی مقاله: JR_GADM-2-2_006
منتشر شده در در سال 1397
شناسه ملی مقاله: JR_GADM-2-2_006
منتشر شده در در سال 1397
مشخصات نویسندگان مقاله:
Asadollah Faramarzi Salles - Department of Mathematics, Damghan University, Damghan, Iran.
خلاصه مقاله:
Asadollah Faramarzi Salles - Department of Mathematics, Damghan University, Damghan, Iran.
Baer has shown that, for a group G, finiteness of G=Zi(G) implies finiteness of ɣi+۱(G). In this paper we will show that the converse is true provided that G=Zi(G) is finitely generated. In particular, when G is a finite nilpotent group we show that |G=Zi(G)| divides |ɣi+۱(G)|d′ i(G), where d′i(G) =(d( G /Zi(G)))i.
کلمات کلیدی: Theorem, Lower central series, Upper central series
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1741650/