نتایج جستجو برای: ideal subgroup
تعداد نتایج: 171604 فیلتر نتایج به سال:
let $g$ be a finite group with the identity $e$. the subgroup intersection graph $gamma_{si}(g)$ of $g$ is the graph with vertex set $v(gamma_{si}(g)) = g-e$ and two distinct vertices $x$ and $y$ are adjacent in $gamma_{si}(g)$ if and only if $|leftlangle xrightrangle capleftlangle yrightrangle|>1$, where $leftlangle xrightrangle $ is the cyclic subgroup of $g$ generated by $xin g$. in th...
Theorem 1.1 Suppose that G is a finite group, and k is a field of characteristic p. Let H be a collection of subgroups of G. Denote by K the collection of subgroups K of G with the property that the Sylow p-subgroups of the centralizer CG(K) are not conjugate to a subgroup of any of the groups in H. Let J be the ideal in H∗(G, k) given by the sum of the images of transfer from subgroups in H, a...
A group G (with additively written, not necessarily commutative group operation and neutral element 0) is called an H-group if there is a certain system Cl of w-ary algebraic operations (for certain natural numbers n) besides the addition such that for each w-ary operation OJEQ the condition 00... 0w = 0 (with n zeros on the left side) is satisfied. An important concept is that of an Q-ideal in...
a subgroup $h$ is said to be $s$-permutable in a group $g$, if $hp=ph$ holds for every sylow subgroup $p$ of $g$. if there exists a subgroup $b$ of $g$ such that $hb=g$ and $h$ permutes with every sylow subgroup of $b$, then $h$ is said to be $ss$-quasinormal in $g$. in this paper, we say that $h$ is a weakly $ss$-quasinormal subgroup of $g$, if there is a normal subgroup ...
Let G be a simple algebraic group over the complex numbers containing a Borel subgroup B. Given a B-stable ideal I in the nilradical of the Lie algebra of B, we define natural numbers m1,m2, . . . ,mk which we call ideal exponents. We then propose two conjectures where these exponents arise, proving these conjectures in types An, Bn, Cn and some other types. When I = 0, we recover the usual exp...
a result of dixon, evans and smith shows that if $g$ is a locally (soluble-by-finite) group whose proper subgroups are (finite rank)-by-abelian, then $g$ itself has this property, i.e. the commutator subgroup of $g$ has finite rank. it is proved here that if $g$ is a locally (soluble-by-finite) group whose proper subgroups have minimax commutator subgroup, then also the commutator s...
in this article we introduce the notion of n-capable groups. it is shown that every group g admits a uniquely determined subgroup (〖z^n)〗^* (g) which is a characteristic subgroup and lies in the n-centre subgroup of the group g. this is the smallest subgroup of g whose factor group is n-capable. moreover, some properties of n-central extension will be studied.
a subgroup $h$ is said to be $s$-permutable in a group $g$, if $hp=ph$ holds for every sylow subgroup $p$ of $g$. if there exists a subgroup $b$ of $g$ such that $hb=g$ and $h$ permutes with every sylow subgroup of $b$, then $h$ is said to be $ss$-quasinormal in $g$. in this paper, we say that $h$ is a weakly $ss$-quasinormal subgroup of $g$, if there is a normal subgroup ...
notions of strongly regular, regular and left(right) regular $gamma$−semigroupsare introduced. equivalent conditions are obtained through fuzzy notion for a$gamma$−semigroup to be either strongly regular or regular or left regular.
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