Results 121 to 130 of about 228,669 (269)
Growth functions for some uniformly amenable groups
Open Mathematics, 2017 We present a simple constructive proof of the fact that every abelian discrete group is uniformly amenable. We improve the growth function obtained earlier and find the optimal growth function in a particular case.
Dronka Janusz +3 more
doaj +1 more source
Unsolvability of the isomorphism problem for [free abelian]-by-free groups [PDF]
arXiv, 2008 The isomorphism problem for [free abelian]-by-free groups is unsolvable.
arxiv
Elementary abelian 2 subgroups of compact Lie groups [PDF]
arXiv, 2011 We classify elementary abelian 2 subgroups of compact simple Lie groups of adjoint type. This finishes the classification of elementary abelian $p$ subgroups of compact (or linear algebraic) simple groups of adjoint type.
arxiv
Meta-abelian unit groups of group algebras are usually abelian
Journal of Pure and Applied Algebra, 1991 AbstractGiven a field F of positive characteristic p>2 and a finite group G we give necessary and sufficient conditions for the unit group of the group algebra FG to be meta-abelian. In particular, if p⩾5, this happens only when G is abelian.
openaire +2 more sources
The Automorphism Group of Non-Abelian Group of Order p^4
پژوهشهای ریاضی, 2019 Let G be a finite non-abelian group of order p^4 . In this paper we give a structure theorem for the Sylow p-subgroup, Aut_p(G) , of the automorphism group of G../files/site1/files/52/8 ...
Reza Orfi
doaj
Algebraic obstructions to sequential convergence in Hausdorrf abelian groups
International Journal of Mathematics and Mathematical Sciences, 1998 Given an abelian group G and a non-trivial sequence in G, when will it be possible to construct a Hausdroff topology on G that allows the sequence to converge?
Bradd Clark, Sharon Cates
doaj +1 more source
Distance Powers and Distance Matrices of Integral Cayley Graphs over Abelian Groups [PDF]
arXiv, 2012 It is shown that distance powers of an integral Cayley graph over an abelian group are again integral Cayley graphs over that group. Moreover, it is proved that distance matrices of integral Cayley graphs over abelian groups have integral spectrum.
arxiv
On locally compact totally disconnected Abelian groups and their character groups [PDF]
, 1956 Gerald C. Preston
openalex +1 more source
Maximal abelian subgroups of compact matrix groups [PDF]
arXiv, 2014 We classify closed abelian subgroups of the automorphism group of any compact classical simple Lie algebra whose centralizer has the same dimension as the dimension of the subgroup, and describe Weyl groups of maximal abelian subgroups.
arxiv