نتایج جستجو برای: ideal subgroup

تعداد نتایج: 171604  

Journal: :transactions on combinatorics 2012
t. tamizh chelvam m. sattanathan

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...

1997
D. J. Benson

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...

2006
H. LAUSCH

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...

Journal: :international journal of group theory 0
tao zhao school of science, shandong university of technology

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 ...

2004
ERIC SOMMERS JULIANNA TYMOCZKO

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...

Journal: :international journal of group theory 0
francesco de giovanni dipartimento di matematica e applicazioni - university of napoli "federico ii" marco trombetti dipartimento di matematica e applicazooni - university of napoli "federico ii"

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...

Journal: :journal of sciences, islamic republic of iran 2013
m. r. rismanchian

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.

Journal: :international journal of group theory 2014
tao zhao

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 ...

Journal: :iranian journal of fuzzy systems 2007
p. dheena s. coumaressane

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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