Results 21 to 30 of about 84,430 (244)

Arithmetic matroids and Tutte polynomials [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2012
We introduce the notion of arithmetic matroid, whose main example is provided by a list of elements in a finitely generated abelian group. We study the representability of its dual, and, guided by the geometry of toric arrangements, we give a ...
Michele D'Adderio, Luca Moci
doaj   +1 more source

The Groups of Isometries of Metric Spaces over Vector Groups

open access: yesMathematics, 2022
In this paper, we consider the groups of isometries of metric spaces arising from finitely generated additive abelian groups. Let A be a finitely generated additive abelian group.
Sheng Bau, Yiming Lei
doaj   +1 more source

Boundedness of the p-primary torsion of the Brauer group of an abelian variety [PDF]

open access: yesCompositio Mathematica, 2022
We prove that the $p^\infty$-torsion of the transcendental Brauer group of an abelian variety over a finitely generated field of characteristic $p>0$ is bounded.
Marco D'Addezio
semanticscholar   +1 more source

Polynilpotent Capability of Finitely Generated Abelian Groups [PDF]

open access: yesJournal of Advanced Research in Pure Mathematics, 2010
6 ...
Mashayekhy, Behrooz   +2 more
openaire   +3 more sources

On the Structure of the Mislin Genus of a Pullback

open access: yesMathematics, 2023
The notion of genus for finitely generated nilpotent groups was introduced by Mislin. Two finitely generated nilpotent groups Q and R belong to the same genus set G(Q) if and only if the two groups are nonisomorphic, but for each prime p, their p ...
Thandile Tonisi   +2 more
doaj   +1 more source

A bridge theorem for the entropy of semigroup actions

open access: yesTopological 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
doaj   +1 more source

Characterizations of modules definable in o-minimal structures

open access: yesAIMS 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
doaj   +1 more source

On polygonal products of finitely generated abelian groups [PDF]

open access: diamondBulletin 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.
Goansu Kim
openalex   +3 more sources

Fitting quotients of finitely presented abelian-by-nilpotent groups [PDF]

open access: yes, 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
core   +2 more sources

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