نتایج جستجو برای: group extension
تعداد نتایج: 1115011 فیلتر نتایج به سال:
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.
in this thesis, first the notion of weak mutual associativity (w.m.a.) and the necessary and sufficient condition for a $(l,gamma)$-associated hypersemigroup $(h, ast)$ derived from some family of $lesssim$-preordered semigroups to be a hypergroup, are given. second, by proving the fact that the concrete categories, semihypergroups and hypergroups have not free objects we will introduce t...
let $pounds$ be the category of all locally compact abelian (lca) groups. in this paper, the groups $g$ in $pounds$ are determined such that every extension $0to xto yto gto 0$ with divisible, $sigma-$compact $x$ in $pounds$ splits. we also determine the discrete or compactly generated lca groups $h$ such that every pure extension $0to hto yto xto 0$ splits for each divisible group $x$ ...
the aim of this paper is to study co-prolongations of central extensions. we construct the obstruction theory forco-prolongations and classify the equivalence classes of these by kernels of homomorphisms between 2-dimensional cohomology groups of groups.
a normal subgroup $n$ of a group $g$ is said to be an $emph{omissible}$ subgroup of $g$ if it has the following property: whenever $xleq g$ is such that $g=xn$, then $g=x$. in this note we construct various groups $g$, each of which has an omissible subgroup $nneq 1$ such that $g/ncong sl_2(k)$ where $k$ is a field of positive characteristic.
we exhibit an explicit construction for the second cohomology group $h^2(l, a)$ for a lie ring $l$ and a trivial $l$-module $a$. we show how the elements of $h^2(l, a)$ correspond one-to-one to the equivalence classes of central extensions of $l$ by $a$, where $a$ now is considered as an abelian lie ring. for a finite lie ring $l$ we also show that $h^2(l, c^*) cong m(l)$...
نمودار تعداد نتایج جستجو در هر سال
با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید