منابع مشابه
ON THE CHARACTERISTIC DEGREE OF FINITE GROUPS
In this article we introduce and study the concept of characteristic degree of a subgroup in a finite group. We define the characteristic degree of a subgroup H in a finite group G as the ratio of the number of all pairs (h,α) ∈ H×Aut(G) such that h^α∈H, by the order of H × Aut(G), where Aut(G) is the automorphisms group of G. This quantity measures the probability that H can be characteristic ...
متن کاملon finite arithmetic groups
let $f$ be a finite extension of $bbb q$, ${bbb q}_p$ or a global field of positive characteristic, and let $e/f$ be a galois extension. we study the realization fields of finite subgroups $g$ of $gl_n(e)$ stable under the natural operation of the galois group of $e/f$. though for sufficiently large $n$ and a fixed algebraic number field $f$ every its finite extension $e$ is re...
متن کاملon finite c-tidy groups
a group $g$ is said to be a c-tidy group if for every element $x in g setminus k(g)$, the set $cyc(x)=lbrace y in g mid langle x, y rangle ; {rm is ; cyclic} rbrace$ is a cyclic subgroup of $g$, where $k(g)=underset{x in g}bigcap cyc(x)$. in this short note we determine the structure of finite c-tidy groups.
متن کاملHomomorphisms of Knot Groups on Finite Groups
We describe trial and error computer programs for finding certain homomorphisms of a knot group on a special projective group LF(2, p), p prime, and programs to evaluate #i(3TC ; Z) where 9TC is a finitely sheeted branched covering space of S3 associated with such a homomorphism. These programs have been applied to several collections of examples, in particular to the Kinoshita-Terasaka knots, ...
متن کاملOn $Phi$-$tau$-quasinormal subgroups of finite groups
Let $tau$ be a subgroup functor and $H$ a $p$-subgroup of a finite group $G$. Let $bar{G}=G/H_{G}$ and $bar{H}=H/H_{G}$. We say that $H$ is $Phi$-$tau$-quasinormal in $G$ if for some $S$-quasinormal subgroup $bar{T}$ of $bar{G}$ and some $tau$-subgroup $bar{S}$ of $bar{G}$ contained in $bar{H}$, $bar{H}bar{T}$ is $S$-quasinormal in $bar{G}$ and $bar{H}capbar{T}leq bar{S}Phi(bar{H})$. I...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1993
ISSN: 0022-4049
DOI: 10.1016/0022-4049(93)90027-q