نتایج جستجو برای: Finite group
تعداد نتایج: 1218361 فیلتر نتایج به سال:
this thesis basically deals with the well-known notion of the bear-invariant of groups, which is the generalization of the schur multiplier of groups. in chapter two, section 2.1, we present an explicit formula for the bear-invariant of a direct product of cyclic groups with respect to nc, c>1. also in section 2.2, we caculate the baer-invatiant of a nilpotent product of cyclic groups wuth resp...
فرض کنید g یک گروه متناهی باشد به طوری که مربع هر درجه کاراکتر تحویل ناپذیر آن اندیس مرکز گروه را عاد می کند. آیا می توان نتیجه گرفت که گروه پوچتوان یا حتی حلپذیر است؟ همچنین در مورد بعضی از تعمیمهای فوقالذکر بحث خواهیم کرد. همچنین، تا چه اندازه ساختار یک گروه حلپذیر توسط بزرگترین درجه کاراکتر تحویل ناپذیر گروه تحت تاثیر قرار میگیرد مورد بحث قرار خواهد گرفت. let g be a finite group such tha...
chapter one is devotod to collect some notion and background informations, which are needed in the next chapters. it also contains some important statements which will be proved in a more general context later in this thesis. in chapter two, we show that if the marginal factor-group is of order np1...pk,n>1, then we obtain a bound for the order of the verbal subgroup. also a bound for the bear-...
let $g$ be a $p$-group of order $p^n$ and $phi$=$phi(g)$ be the frattini subgroup of $g$. it is shown that the nilpotency class of $autf(g)$, the group of all automorphisms of $g$ centralizing $g/ fr(g)$, takes the maximum value $n-2$ if and only if $g$ is of maximal class. we also determine the nilpotency class of $autf(g)$ when $g$ is a finite abelian $p$-group.
given an integer $n$, we denote by $mathfrak b_n$ and $mathfrak c_n$ the classes of all groups $g$ for which the map $phi_{n}:gmapsto g^n$ is a monomorphism and an epimorphism of $g$, respectively. in this paper we give a characterization for groups in $mathfrak b_n$ and for groups in $mathfrak c_n$. we also obtain an arithmetic description of the set of all integers $n$ such that a gr...
the coprime graph $gg$ with a finite group $g$ as follows: take $g$ as the vertex set of $gg$ and join two distinct vertices $u$ and $v$ if $(|u|,|v|)=1$. in the paper, we explore how the graph theoretical properties of $gg$ can effect on the group theoretical properties of $g$.
let $g$ be a finite group. we say that $g$ has emph{spread} r if for any set of distinct non-trivial elements of $g$ $x:={x_1,ldots, x_r}subset g^{#}$ there exists an element $yin g$ with the property that $langle x_i,yrangle=g$ for every $1leq ileq r$. we say $g$ has emph{exact spread} $r$ if $g$ has spread $r$ but not $r+1$. the spreads of finite simple groups and their decorations ha...
let $g$ be a $p$-group of order $p^n$ and $phi$=$phi(g)$ be the frattini subgroup of $g$. it is shown that the nilpotency class of $autf(g)$, the group of all automorphisms of $g$ centralizing $g/ fr(g)$, takes the maximum value $n-2$ if and only if $g$ is of maximal class. we also determine the nilpotency class of $autf(g)$ when $g$ is a finite abelian $p$-group.
this article presents a systematic study for structure of finite wavelet frames over prime fields. let $p$ be a positive prime integer and $mathbb{w}_p$ be the finite wavelet group over the prime field $mathbb{z}_p$. we study theoretical frame aspects of finite wavelet systems generated by subgroups of the finite wavelet group $mathbb{w}_p$.
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