منابع مشابه
ON RELATIVE CENTRAL EXTENSIONS AND COVERING PAIRS
Let (G;N) be a pair of groups. In this article, first we con-struct a relative central extension for the pair (G;N) such that specialtypes of covering pair of (G;N) are homomorphic image of it. Second, weshow that every perfect pair admits at least one covering pair. Finally,among extending some properties of perfect groups to perfect pairs, wecharacterize covering pairs of a perfect pair (G;N)...
متن کاملthe automorphism group for $p$-central $p$-groups
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 $text{aut}(g)$.
متن کاملthe automorphism group for p-central p-groups
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 $text{aut}(g)$.
متن کاملEXTENSIONS OF LINKING SYSTEMS WITH p-GROUP KERNEL
We study extensions of p-local nite groups where the kernel is a pgroup. In particular, we construct examples of saturated fusion systems F which do not come from nite groups, but which have normal p-subgroups A C F such that F=A is the fusion system of a nite group. One of the tools used to do this is the concept of a \transporter system", which is modelled on the transporter category of a nit...
متن کاملthe prolongation of central extensions
the aim of this paper is to study the $(alpha, gamma)$-prolongation of central extensions. we obtain the obstruction theory for $(alpha, gamma)$-prolongations and classify $(alpha, gamma)$-prolongations thanks to low-dimensional cohomology groups of groups.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2004
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-04-07509-4