نتایج جستجو برای: finite group
تعداد نتایج: 1218361 فیلتر نتایج به سال:
let $g$ be a group and $a=aut(g)$ be the group of automorphisms of $g$. then the element $[g,alpha]=g^{-1}alpha(g)$ is an autocommutator of $gin g$ and $alphain a$. also, the autocommutator subgroup of g is defined to be $k(g)=langle[g,alpha]|gin g, alphain arangle$, which is a characteristic subgroup of $g$ containing the derived subgroup $g'$ of $g$. a group is defined...
in this paper we find systems of subgroups of a finite group, which $bbb p$-subnormality guarantees supersolvability of the whole group.
abstract in this paper, we study the generalized order- jacobsthal sequences modulo for and the generalized order-k jacobsthal-padovan sequence modulo for . also, we define the generalized order-k jacobsthal orbit of a k-generator group for and the generalized order-k jacobsthal-padovan orbit a k-generator group for . furthermore, we obtain the lengths of the periods of the generalized order-3 ...
in this paper we find systems of subgroups of a finite group, which $bbb p$nobreakdash-hspace{0pt}subnormality guarantees supersolvability of the whole group.
this paper, deals with some equivalence relations in fuzzy subgroups. further the probability of commuting two fuzzy subgroups of some finite abelian groups is defined.
we say that a finite group $g$ is conjugacy expansive if for anynormal subset $s$ and any conjugacy class $c$ of $g$ the normalset $sc$ consists of at least as many conjugacy classes of $g$ as$s$ does. halasi, mar'oti, sidki, bezerra have shown that a groupis conjugacy expansive if and only if it is a direct product ofconjugacy expansive simple or abelian groups.by considering a character analo...
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))
we characterize the rational subsets of a finite group and discuss the relations to integral cayley graphs.
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.
a $p$-group $g$ is called a $mathcal{cac}$-$p$-group if $c_g(h)/h$ is cyclic for every non-cyclic abelian subgroup $h$ in $g$ with $hnleq z(g)$. in this paper, we give a complete classification of finite $mathcal{cac}$-$p$-groups.
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