some results on baer’s theorem
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نویسنده
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faramarzi salles asadollah
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منبع
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analytical and numerical solutions for nonlinear equations - 2017 - دوره : 2 - شماره : 2 - صفحه:151 -155
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چکیده
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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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کلیدواژه
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schur’s theorem · lower central series · upper central series
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آدرس
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damghan university, department of mathematics, ایران
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پست الکترونیکی
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faramarzi@du.ac.ir
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