Results 91 to 100 of about 11,420 (266)

Structure of Finite-Dimensional Protori

open access: yesAxioms, 2019
A Structure Theorem for Protori is derived for the category of finite-dimensional protori (compact connected abelian groups), which details the interplay between the properties of density, discreteness, torsion, and divisibility within a finite ...
Wayne Lewis
doaj   +1 more source

Factorizing profinite groups into two Abelian subgroups [PDF]

open access: yesInternational Journal of Group Theory, 2013
We prove that the class of profinite groups $G$ that have a factorization $G=AB$with $A$ and $B$ abelian closed subgroups, is closed under taking strict projective limits.This is a generalization of a recent result by K.H.~Hofmann and F.G.~Russo.As an ...
Wolfgang Herfort
doaj  

Algebraic obstructions to sequential convergence in Hausdorrf abelian groups

open access: yesInternational 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

Metahamiltonian groups and related topics [PDF]

open access: yesInternational Journal of Group Theory, 2013
A group is called metahamiltonian if all its non-abelian subgroups are normal. This aim of this paper is to provide an updated survey of researches concerning certain classes of generalized metahamiltonian groups, in various contexts, and to prove some ...
Maria De Falco   +2 more
doaj  

Large Abelian Subgroups of Finitep-Groups

open access: yesJournal of Algebra, 1997
Let \(p\) be a prime and let \(G\) be a finite \(p\)-group. Let \(d(G)\) be the maximum of \(| A|\) as \(A\) ranges over the abelian subgroups of \(G\), and \({\mathcal A}(G)\) be the set of all abelian subgroups \(A\) for which \(| A|=d(G)\). Let \(B\) be an abelian subgroup of \(G\) normalized by \(A\) and \(B\) does not normalize \(A\).
openaire   +1 more source

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