Results 1 to 10 of about 2,524 (214)

On the structure of groups admitting faithful modules with certain conditions of primitivity

Researches in Mathematics, 2023
In the paper we study structure of soluble-by-finite groups of finite torsion-free rank which admit faithful modules with conditions of primitivity. In particular, we prove that under some additional conditions if an infinite finitely generated linear ...
A.V. Tushev
doaj   +2 more sources

A Note on Torsion Free Abelian Groups of Infinite Rank [PDF]

Proceedings of the American Mathematical Society, 1962
J. Reid
openaire   +3 more sources

Quasi-Direct Decompositions of Torsion-Free Abelian Groups of Infinite Rank.

MATHEMATICA SCANDINAVICA, 1973
Fuchs, L., Viljoen, G.
openaire   +4 more sources

Some torsion-free solvable groups with few subquotients [PDF]

Mathematical Proceedings of the Cambridge Philosophical Society, 2022
We construct finitely generated torsion-free solvable groups G that have infinite rank, but such that all finitely generated torsion-free metabelian subquotients of G are virtually abelian.
Adrien Le Boudec, Nicolás Matte Bon
semanticscholar   +1 more source

Remark on the $p$-rank of torsion free abelian groups of infinite rank [PDF]

Czechoslovak Mathematical Journal, 1963
Zusammenfassung des Autors:
openaire   +2 more sources

The decomposability problem for torsion-free abelian groups is analytic-complete [PDF]

, 2013
We discuss the decomposability of torsion-free abelian groups. We show that among computable groups of finite rank this property is $\Sigma^0_3$-complete.
K. Riggs
semanticscholar   +1 more source

Hyperbolic extensions of free groups [PDF]

, 2014
Given a finitely generated subgroup $\Gamma \le \mathrm{Out}(\mathbb{F})$ of the outer automorphism group of the rank $r$ free group $\mathbb{F} = F_r$, there is a corresponding free group extension $1 \to \mathbb{F} \to E_{\Gamma} \to \Gamma \to 1$.
S. Dowdall, Samuel J. Taylor
semanticscholar   +1 more source

Spectral Analysis Implies Spectral Synthesis

Mathematics
In this paper we show that spectral analysis implies spectral synthesis for arbitrary varieties on locally compact Abelian groups that have no discrete subgroups of an infinite torsion-free rank.
László Székelyhidi
doaj   +1 more source

Free subgroups of finitely generated free profinite groups [PDF]

Journal of the London Mathematical Society, 2015
We give new and improved results on the freeness of subgroups of free profinite groups: A subgroup containing the normal closure of a finite word in the elements of a basis is free; every infinite‐index subgroup of a finitely generated nonabelian free ...
M. Shusterman
semanticscholar   +1 more source

Johnson homomorphisms and actions of higher‐rank lattices on right‐angled Artin groups [PDF]

Journal of the London Mathematical Society, 2011
Let G be a real semisimple Lie group with no compact factors and finite centre, and let Λ be an irreducible lattice in G. Suppose that there exists a homomorphism from Λ to the outer automorphism group of a right‐angled Artin group AΓ with infinite image.
Richard D. Wade
semanticscholar   +1 more source