Results 91 to 100 of about 5,645,781 (209)

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

International 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, Patrizia Longobardi, Mercede Maj   +2 more
doaj   +1 more source

Virtual endomorphisms of nilpotent groups

Groups, 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

Subregular representations of Sln and simple singularities of type An-1. Part II [PDF]

, 2003
The aim of this paper is to show that the structures on K-theory used to formulate Lusztig's conjecture for subregular nilpotent sln-representations are, in fact, natural in the McKay correspondence.
Rumynin, D., Iain Gordon, Dmitriy Rumynin, Gordon, I. (Iain), Rumynin, Dmitriy, Gordon, I.   +5 more
core   +1 more source

On groups covered by locally nilpotent subgroups [PDF]

, 2017
Let N be the class of pronilpotent groups, or the class of locally nilpotent profinite groups, or the class of strongly locally nilpotent profinite groups. It is proved that a profinite group G is finite-by-N if and only if G is covered by countably many
Detomi, Eloisa, Pavel Shumyatsky, Shumyatsky, Pavel, Eloisa Detomi, Marta Morigi, Morigi, Marta   +5 more
core   +1 more source

Action of Reflection Groups on Nilpotent Groups

European 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

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

Researches 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

Nilpotent groups and their automorphisms

, 1993
Nilpotent Groups and Their Automorphisms (Beihefte Zur Zeitschrift Fur Die Neutestamentliche Wissenschaft)
Evgenii I. Khukhro, Khukhro, Evgenii I
core   +1 more source

Nilpotent groups and their automorphisms

, 2015
The fact that nilpotent groups are close to being commutative means that it is possible to apply linear methods to their study. In this volume, based on a special course given by the author at Novosibirsk University, Russia in 1988-1990, linear methods ...
Evgeny Khukhro (17161393)
core   +2 more sources

Existence of isoperimetric regions in sub-Finsler nilpotent groups

Analysis and Geometry in Metric Spaces
We consider a nilpotent Lie group with a bracket-generating distribution ℋ{\mathcal{ {\mathcal H} }} and an asymmetric left-invariant norm ∣⋅∣K{| \cdot | }_{K} induced by a convex body K⊆RkK\subseteq {{\mathbb{R}}}^{k} containing 0 in its interior.
Pozuelo Julián
doaj   +1 more source

Automorphism groups of some non-nilpotent Leibniz algebras

Researches in Mathematics
Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity: $[a,[b,c]]=[[a,b],c]+[b,[a,c]]$ for all $a,b,c\in L$. A linear transformation $f$ of $L$
L.A. Kurdachenko, P.Ye. Minaiev, O.O. Pypka   +2 more
doaj   +1 more source