Some Results on Baer's Theorem
نویسنده
چکیده مقاله:
Baer has shown that, for a group G, finiteness of G=Zi(G) implies finiteness of ɣi+1(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+1(G)|d′ i(G), where d′i(G) =(d( G /Zi(G)))i.
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عنوان ژورنال
دوره 2 شماره 2
صفحات 151- 155
تاریخ انتشار 2018-01-01
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