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Finitely generated soluble groups and their subgroups [PDF]
We prove that every finitely generated soluble group which is not virtually abelian has a subgroup of one of a small number of types.Comment: 16 ...
Derek F. Holt +3 more
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Abelian subgroup separability of some one-relator groups
We prove that any group in the class of one-relator groups given by the presentation 〈a,b;[am,bn]=1〉, where m and n are integers greater than 1, is cyclic subgroup separable (or πc).
D. Tieudjo
doaj +1 more source
The inverse theorem for the $U^3$ Gowers uniformity norm on arbitrary finite abelian groups: Fourier-analytic and ergodic approaches, Discrete Analysis 2023:11, 48 pp. Let $G$ be a finite Abelian group and let $f:G\to\mathbb C$.
Asgar Jamneshan, Terence Tao
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Amenable groups without finitely presented amenable covers [PDF]
The goal of this article is to study results and examples concerning finitely presented covers of finitely generated amenable groups. We collect examples of groups $G$ with the following properties: (i) $G$ is finitely generated, (ii) $G$ is amenable, e ...
Benli, Mustafa Gokhan +2 more
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When the intrinsic algebraic entropy is not really intrinsic
The intrinsic algebraic entropy ent(ɸ) of an endomorphism ɸ of an Abelian group G can be computed using fully inert subgroups of ɸ-invariant sections of G, instead of the whole family of ɸ-inert subgroups.
Goldsmith Brendan, Salce Luigi
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On groups and counter automata [PDF]
We study finitely generated groups whose word problems are accepted by counter automata. We show that a group has word problem accepted by a blind n-counter automaton in the sense of Greibach if and only if it is virtually free abelian of rank n; this ...
Dixon J. D. +8 more
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On the K- and L-theory of hyperbolic and virtually finitely generated abelian groups [PDF]
We investigate the algebraic K- and L-theory of the group ring RG, where G is a hyperbolic or virtually finitely generated abelian group and R is an associative ring with unit.
W. Lueck, David Rosenthal
semanticscholar +1 more source
On almost finitely generated nilpotent groups
A nilpotent group G is fgp if Gp, is finitely generated (fg) as a p-local group for all primes p; it is fg-like if there exists a nilpotent fg group H such that Gp≃Hp for all primes p.
Peter Hilton, Robert Militello
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Let $Y$ be a principal homogeneous space of an abelian surface, or a K3 surface, over a finitely generated extension of
ANTHONY VÁRILLY-ALVARADO, BIANCA VIRAY
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Rigidity of graph products of abelian groups
We show that if $G$ is a group and $G$ has a graph-product decomposition with finitely-generated abelian vertex groups, then $G$ has two canonical decompositions as a graph product of groups: a unique decomposition in which each vertex group is a ...
Gutierrez, Mauricio, Piggott, Adam
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