Results 41 to 50 of about 83,213 (229)
A bridge theorem for the entropy of semigroup actions
Topological Algebra and its Applications, 2020 The topological entropy of a semigroup action on a totally disconnected locally compact abelian group coincides with the algebraic entropy of the dual action.
Bruno Anna Giordano
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Characterizations of modules definable in o-minimal structures
AIMS Mathematics, 2023 Let $ \mathfrak M $ be an o-minimal expansion of a densely linearly ordered set and $ (S, +, \cdot, 0_S, 1_S) $ be a ring definable in $ \mathfrak M $.
Jaruwat Rodbanjong +1 more
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Fitting quotients of finitely presented abelian-by-nilpotent groups [PDF]
, 2013 We show that every finitely generated nilpotent group of class 2 occurs as the quotient of a finitely presented abelian-by-nilpotent group by its largest nilpotent normal subgroup.Comment: This second version takes into account the suggestions by the ...
Groves, J. R. J., Strebel, Ralph
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Finitely generated soluble groups and their subgroups [PDF]
, 2011 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
International Journal of Mathematics and Mathematical Sciences, 2005 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
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Discrete Analysis, 2023 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]
, 2013 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
Topological Algebra and its Applications, 2015 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]
, 2006 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 polygonal products of finitely generated abelian groups [PDF]
Bulletin of the Australian Mathematical Society, 1992 We prove that a polygonal product of polycyclic-by-finite groups amalgamating subgroups, with trivial intersections, is cyclic subgroup separable (hence, it is residually finite) if the amalgamated subgroups are contained in the centres of the vertex groups containing them.
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