Results 11 to 20 of about 11,845 (129)

Group algebras whose unit group is locally nilpotent [PDF]

open access: yes, 2020
https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/abs/group-algebras-whose-unit-group-is-locally-nilpotent/482C5F244EBD8211FAFC0A920468E758Abstract.
Бовді Віктор   +2 more
core   +2 more sources

Nilpotent subspaces of maximal dimension in semisimple Lie algebras [PDF]

open access: yes, 2006
We show that a linear subspace of a reductive Lie algebra g that consists of nilpotent elements has dimension at most equal to the number of positive roots, and that any nilpotent subspace attaining this upper bound is equal to the nilradical of a Borel ...
Kuttler, J   +8 more
core   +1 more source

Enumerating finite class-2-nilpotent groups on 2 generators [PDF]

open access: yes, 2009
We compute the numbers g(n,2,2) of nilpotent groups of order n, of class atmost 2 generated by at most 2 generators, by giving an explicit formula for theDirichlet generating function \sum_{n=1}^\infty g(n,2,2)n^{-s}
Voll, Christopher, Christopher Voll
core   +1 more source

On (σ,τ)-Derivations of Group Algebra as Category Characters

open access: yes, 2023
For the space of (σ,τ)-derivations of the group algebra C[G] of a discrete countable group G, the decomposition theorem for the space of (σ,τ)-derivations, generalising the corresponding theorem on ordinary derivations on group algebras, is established ...
Silvestrov, Sergei,   +2 more
core   +1 more source

Probabilistically-like nilpotent groups

open access: yes, 2022
The main goal of the paper is to present a general model theoretic framework to understand a result of Shalev on probabilistically finite nilpotent groups.
Palacín Cruz, Daniel
core   +1 more source

Rigidity Phenomena of Group Actions on a Class of Nilmanifolds and Anosov R^n Actions [PDF]

open access: yes, 1992
An action of a group Г on a manifold M is a homomorphism ρ from Г to Diff(M). ρo is locally rigid if the nearby homomorphism ρ, ρ(γ) = h o ρ0, (γ) 0h^(-1) for some h Є Diff(M) and for all, γ Є Г.
Qian, Nantian
core   +1 more source

Multilinear cryptography using nilpotent groups [PDF]

open access: yes, 2020
In this paper, we develop a novel idea of multilinear cryptosystem using nilpotent group ...
Kahrobaei, Delaram   +5 more
core   +1 more source

$G$-nilpotent units of commutative group rings [PDF]

open access: yes, 2012
summary:Suppose $R$ is a commutative unital ring and $G$ is an abelian group. We give a general criterion only in terms of $R$ and $G$ when all normalized units in the commutative group ring $RG$ are $G$-nilpotent.
Danchev, Peter
core   +1 more source

Contributions to automorphisms of affine spaces [PDF]

open access: yes, 2013
We study aspects of the group G_n of polynomial automorphisms of the affine space A^n, the so-called affine Cremona group. Shafarevich introduced on G_n the structure of an ind-variety, an infinite-dimensional analogon to a (classical) variety.
Stampfli, Immanuel
core   +1 more source

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

open access: yes, 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.   +5 more
core   +1 more source

Home - About - Disclaimer - Privacy