Results 91 to 100 of about 5,393,663 (208)

About Nilpotent Profinite Groups Largely Satisfying a Word Equation [PDF]

open access: yesAdvances in Group Theory and Applications
We show that in a nilpotent profinite group, the set of answers of a word equation has nonempty interior, provided that this set has a positive Haar measure.
Meisam Soleimani Malekan
doaj   +1 more source

Some Residual Properties of Finite Rank Groups

open access: yesМоделирование и анализ информационных систем, 2014
The generalization of one classical Seksenbaev theorem for polycyclic groups is obtained. Seksenbaev proved that if G is a polycyclic group which is residually finite p-group for infinitely many primes p, it is nilpotent. Recall that a group G is said to
D. N. Azarov
doaj   +1 more source

On some groups whose subnormal subgroups are contranormal-free [PDF]

open access: yesInternational Journal of Group Theory
If $G$ is a group, a subgroup $H$ of $G$ is said to be contranormal in $G$ if $H^G = G$, where $H^G$ is the normal closure of $H$ in $G$. We say that a group is contranormal-free if it does not contain proper contranormal subgroups.
Leonid Kurdachenko   +2 more
doaj   +1 more source

Virtual endomorphisms of nilpotent groups

open access: yesGroups, Geometry, and Dynamics, 2007
A virtual endomorphism of a group G is a homomorphism f : H→ G where H is a subgroup of G of finite index
Berlatto, Adilson, Sidki, Said
openaire   +4 more sources

Quasi-Kahler Chern-flat manifolds and complex 2-step nilpotent Lie algebras [PDF]

open access: yes, 2012
The study of quasi-Kaehler Chern-flat almost Hermitian manifolds is strictly related to the study of anti-bi-invariant almost complex Lie algebras.
Lauret, J.   +2 more
core   +1 more source

Polarizations and Nullcone of Representations of Reductive Groups [PDF]

open access: yes, 2009
The paper starts with the following simple observation. Let V be a representation of a reductive group G, and let f_1,f_2,...,f_n be homogeneous invariant functions. Then the polarizations of f_1,f_2,...,f_n define the nullcone of k 0} h(t) x = 0 for all
Kraft, Hanspeter   +3 more
core   +1 more source

Action of Reflection Groups on Nilpotent Groups

open access: yesEuropean Journal of Combinatorics, 1997
Let \(G\) be a group generated by a set \(X\) of involutions, such that \(o(xy)\in\{1,2,3\}\) for all \(x,y\in X\). The diagram \(\Gamma\) of \(X\) is the graph on \(X\) with the property that \(x,y\in X\) are joined by an edge iff \(o(xy)=3\). If \(G\) acts on a group \(M\), then \(M\) is called a \((G,X)\)-group provided that \([x,M]\leq C_M(y)\) for
openaire   +3 more sources

Elementary Lie Algebras and Lie A-Algebras. [PDF]

open access: yes, 2007
A finite-dimensional Lie algebra L over a field F is called elementary if each of its subalgebras has trivial Frattini ideal; it is an A-algebra if every nilpotent subalgebra is abelian. The present paper is primarily concerned with the classification of
Varea, Vicente R., Towers, David A.
core   +1 more source

On invariant ideals in crossed products of torsion-free minimax nilpotent groups

open access: yesResearches in Mathematics
Let $R$ be a finitely generated commutative domain and let $N$ be a nilpotent minimax torsion-free group acted by a solvable group of operators $G$ of finite rank.
A.V. Tushev
doaj   +1 more source

Centralisers of finite subgroups in soluble groups of type FPn

open access: yes, 2009
We show that for soluble groups of type FPn , centralisers of finite subgroups need not be of type ...
Martínez-Pérez, Conchita   +5 more
core   +1 more source

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