Results 111 to 120 of about 4,731 (229)

On the Nilpotent Representation Theory of Groups [PDF]

In this article, we establish results concerning the nilpotent representation theory of groups. In particular, we utilize a theorem of Stallings to provide a general method that constructs pairs of groups that have isomorphic universal nilpotent ...
Milana D Golich (18423324)
core   +1 more source

Approximate multiplicative groups in nilpotent Lie groups [PDF]

, 2019
We generalize a result of Tao which describes approximate multiplicative groups in the Heisenberg group. We extend it to simply connected nilpotent.
Fisher, D, Katz, NH, Peng, I
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   +2 more sources

Asymptotically CAT(0) Groups [PDF]

We develop a general theory for asymptotically CAT(0) groups; these are groups acting geometrically on a geodesic space, all of whose asymptotic cones are CAT(0)
Kar, Aditi
core  

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

Representation zeta functions of compact p-adic analytic groups and arithmetic groups [PDF]

, 2013
We introduce new methods from p-adic integration into the study of representation zeta functions associated to compact p-adic analytic groups and arithmetic groups.
Onn, Uri, Avni, Nir, Klopsch, Benjamin, Voll, Christopher   +3 more
core   +1 more source

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

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

Finiteness properties of profinite groups [PDF]

, 2010
PhDBroadly speaking, a finiteness property of groups is any generalisation of the property of having finite order. A large part of infinite group theory is concerned with finiteness properties and the relationships between them. Profinite groups are an
Colin David Reid, Reid, Colin David
core  

Ergodic Theory and Geometry of Nilpotent Groups [PDF]

, 2016
We investigate the ergodic theory and geometry of finitely generated virtually nilpotent groups. Let Γ be a finitely generated virtually nilpotent group.
Michael A. Cantrell (7968464)
core   +2 more sources