نتایج جستجو برای: finite groups
تعداد نتایج: 971149 فیلتر نتایج به سال:
let $g$ be a finite $p$-group and $n$ be a normal subgroup of $g$ with $|n|=p^n$ and $|g/n|=p^m$. a result of ellis (1998) shows that the order of the schur multiplier of such a pair $(g,n)$ of finite $p$-groups is bounded by $ p^{frac{1}{2}n(2m+n-1)}$ and hence it is equal to $ p^{frac{1}{2}n(2m+n-1)-t}$ for some non-negative integer $t$. recently, the authors have characterized...
we characterize strictly diagonal type of embeddings offinitary symmetric groups in terms of cardinality and the characteristic. namely, we prove thefollowing.let $kappa$ be an infinite cardinal. if$g=underset{i=1}{stackrel{infty}bigcup} g_i,$ where $ g_i=fsym(kappa n_i)$,$(h=underset{i=1}{stackrel{infty}bigcup}h_i, $ where $ h_i=alt(kappa n_i) ), $ is a group of strictly diagonal type and$xi=(...
the textit{commutativity degree}, $pr(g)$, of a finite group $g$ (i.e. the probability that two (randomly chosen) elements of $g$ commute with respect to its operation)) has been studied well by many authors. it is well-known that the best upper bound for $pr(g)$ is $frac{5}{8}$ for a finite non--abelian group $g$. in this paper, we will define the same concept for a finite non--abelian textit{...
let $g$ be a finite group. we denote by $psi(g)$ the integer $sum_{gin g}o(g)$, where $o(g)$ denotes the order of $g in g$. here we show that $psi(a_5)< psi(g)$ for every non-simple group $g$ of order $60$, where $a_5$ is the alternating group of degree $5$. also we prove that $psi(psl(2,7))
the aim of this note is to characterize the finite groups in which all non-linear irreducible characters have distinct zero entries number.
we consider two commutativity ratios $pr(g)$ and $f(g)$ in a finite group $g$ and examine the properties of $g$ when these ratios are `large'. we show that if $pr(g) > frac{7}{24}$, then $g$ is metabelian and we give threshold results in the cases where $g$ is insoluble and $g'$ is nilpotent. we also show that if $f(g) > frac{1}{2}$, then $f(g) = frac{n+1}{2n}$, for some na...
let $g$ be a finite group. we denote by $psi(g)$ the integer $sum_{gin g}o(g)$, where $o(g)$ denotes the order of $g in g$. here we show that $psi(a_5)< psi(g)$ for every non-simple group $g$ of order $60$, where $a_5$ is the alternating group of degree $5$. also we prove that $psi(psl(2,7))
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 ...
Let G be a finite group and C(G) be the family of representative conjugacy classes of subgroups of G. The matrix whose H;K-entry is the number of fixed points of the set G=K under the action of H is called the table of marks of G where H;K run through all elements in C(G). In this paper, we compute the table of marks and the markaracter table of groups of order pqr where p, q, r are prime numbers.
نمودار تعداد نتایج جستجو در هر سال
با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید