نتایج جستجو برای: $p$ central series

تعداد نتایج: 1993734  

Journal: :international journal of group theory 2012
s. fouladi r. orfi

it is shown that there are exactly seventy-eight 3-generator 2-groups of order $2^{11}$ with trivial schur multiplier. we then give 3-generator, 3-relation presentations for forty-eight of them proving that these groups have deficiency zero.

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.

2006
MARIA A. AVIÑO-DIAZ PHILL SCHULTZ

We determine the upper central series of the maximal normal p–subgroup of the automorphism group of a bounded abelian p–group.

Journal: :international journal of group theory 2012
anitha thillaisundaram

a $p$-group $g$ is $p$-central if $g^{p}le z(g)$‎, ‎and $g$ is‎ ‎$p^{2}$-abelian if $(xy)^{p^{2}}=x^{p^{2}}y^{p^{2}}$ for all $x,yin‎ ‎g$‎. ‎we prove that for $g$ a finite $p^{2}$-abelian $p$-central ‎$p$-group‎, ‎excluding certain cases‎, ‎the order of $g$ divides the ‎order of $text{aut}(g)$‎.

Journal: :Proceedings of the Edinburgh Mathematical Society 1962

Journal: :international journal of group theory 0
anitha thillaisundaram university of cambridge, uk

a $p$-group $g$ is $p$-central if $g^{p}le z(g)$‎, ‎and $g$ is‎ ‎$p^{2}$-abelian if $(xy)^{p^{2}}=x^{p^{2}}y^{p^{2}}$ for all $x,yin‎ ‎g$‎. ‎we prove that for $g$ a finite $p^{2}$-abelian $p$-central‎ ‎$p$-group‎, ‎excluding certain cases‎, ‎the order of $g$ divides the‎ ‎order of $text{aut}(g)$‎.

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه علامه طباطبایی 1391

this research is about the political economy of china in central asia. in this research the political & economic interactions affected on chinas political economy in central asia are examined. chinas goal of presence in central asia including political-security, economic and energy goals is described in one part. in another part, the trade relations between china and central asian countries ar...

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