Results 1 to 10 of about 472 (192)

On the structure of some non-periodic groups whose subgroups of infinite special rank are transitively normal

Karpatsʹkì Matematičnì Publìkacìï, 2021
A group $G$ has a finite special rank $r$ if every finitely generated subgroup of $G$ is generated by at most $r$ elements and there is a finitely generated subgroup of $G$ which has exactly $r$ generators.
T.V. Velychko
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Diophantine problems in solvable groups [PDF]

Bulletin of Mathematical Sciences, 2020
We study the Diophantine problem (decidability of finite systems of equations) in different classes of finitely generated solvable groups (nilpotent, polycyclic, metabelian, free solvable, etc.), which satisfy some natural “non-commutativity” conditions.
Albert Garreta, Alexei Miasnikov, Denis Ovchinnikov   +2 more
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Arithmetic matroids and Tutte polynomials [PDF]

Discrete 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
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The Groups of Isometries of Metric Spaces over Vector Groups

Mathematics, 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
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On the Structure of the Mislin Genus of a Pullback

Mathematics, 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, Rugare Kwashira, Jules C. Mba   +2 more
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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, Athipat Thamrongthanyalak   +1 more
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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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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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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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ABELIAN $n$ -DIVISION FIELDS OF ELLIPTIC CURVES AND BRAUER GROUPS OF PRODUCT KUMMER & ABELIAN SURFACES

Forum of Mathematics, Sigma, 2017
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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