نتایج جستجو برای: abelian groups
تعداد نتایج: 743058 فیلتر نتایج به سال:
let $a$ be an abelian topological group and $b$ a trivial topological $a$-module. in this paper we define the second bilinear cohomology with a trivial coefficient. we show that every abelian group can be embedded in a central extension of abelian groups with bilinear cocycle. also we show that in the category of locally compact abelian groups a central extension with a continuous section can b...
let $g$ be a group and $a=aut(g)$ be the group of automorphisms of $g$. then the element $[g,alpha]=g^{-1}alpha(g)$ is an autocommutator of $gin g$ and $alphain a$. also, the autocommutator subgroup of g is defined to be $k(g)=langle[g,alpha]|gin g, alphain arangle$, which is a characteristic subgroup of $g$ containing the derived subgroup $g'$ of $g$. a group is defined...
we prove that the class of profinite groups $g$ that have a factorization $g=ab$ with $a$ and $b$ abelian closed subgroups, is closed under taking strict projective limits. this is a generalization of a recent result by k.h.~hofmann and f.g.~russo. as an application we reprove their generalization of iwasawa's structure theorem for quasihamiltonian pro-$p$ groups.
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it was shown in [a. azimifard, e. samei, n. spronk, jfa 256 (2009)] that the zl-amenability constant of a finite group is always at least~$1$, with equality if and only if the group is abelian. it was also shown in [a. azimifard, e. samei, n. spronk, op cit.] that for any finite non-abelian group this invariant is at least $301/300$, but the proof relies crucially on a deep result of d. a. ride...
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