نتایج جستجو برای: Finite simple group
تعداد نتایج: 1621766 فیلتر نتایج به سال:
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 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))
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))
let l = u3(9) be the simple projective unitary group in dimension 3 over a eld with 92 elements. in this article, we classify groups with the same order and degree pattern as an almost simple group related to l. since aut(l) = z4 hence almost simple groups related to l are l, l : 2 or l : 4. in fact, we prove that l, l : 2 and l : 4 are od-characterizable.
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...
in this paper, we examine that some simple $k_4$-groups can be determined uniquely by their orders and one or two irreducible complex character degrees.
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-...
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