Results 11 to 20 of about 813,424 (237)
On finite state automaton actions of HNN extensions of free abelian groups
Karpatsʹkì Matematičnì Publìkacìï, 2021 HNN extensions of free abelian groups are considered. For arbitrary prime $p$ it is introduced a class of such extensions that act by finite automaton permutations over an alphabet $ \mathsf{X} $ of cardinality $p$ and belong to $p$-Sylow subgroup of the
V. Prokhorchuk
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Solving logistic tasks by parallelizing algorithms of the theory of direct decompositions of torsion-free abelian groups [PDF]
E3S Web of Conferences, 2023 The paper considers the principles of parallelization at marshalling yards and determines their importance. There are presented the methods for direct decompositions of torsion-free Abelian groups of finite rank.
Blagoveshchenskaya E. +2 more
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Completely decomposable direct summands of torsion-free abelian groups of finite rank [PDF]
, 2017 Let $A$ be a finite rank torsion--free abelian group. Then there exist direct decompositions $A=B\oplus C$ where $B$ is completely decomposable and $C$ has no rank 1 direct summand.
A. Mader, P. Schultz
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Finding bases of uncountable free abelian groups is usually difficult [PDF]
, 2017 We investigate effective properties of uncountable free abelian groups. We show that identifying free abelian groups and constructing bases for such groups is often computationally hard, depending on the cardinality.
Noam Greenberg +2 more
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On free products of finite abelian groups [PDF]
Proceedings of the American Mathematical Society, 1972 The purpose of this note is to show that if G is the free product of finitely many, finite abelian groups then the commutator subgroup is a finitely generated free group whose rank depends only on the number and orders of the factors. Moreover, we shall present a constructive procedure for obtaining a basis of this free group using the Kurosh rewriting
Anshel, Michael, Prener, Robert
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Expansions of abelian square-free groups [PDF]
International Journal of Algebra and Computation, 2021 We investigate finitary functions from [Formula: see text] to [Formula: see text] for a square-free number [Formula: see text]. We show that the lattice of all clones on the square-free set [Formula: see text] which contain the addition of [Formula: see text] is finite. We provide an upper bound for the cardinality of this lattice through an injective
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Characteristic random subgroups of geometric groups and free abelian groups of infinite rank [PDF]
, 2014 We show that if $G$ is a non-elementary word hyperbolic group, mapping class group of a hyperbolic surface or the outer automorphism group of a nonabelian free group then $G$ has $2^{\aleph_0}$ many continuous ergodic invariant random subgroups.
L. Bowen, R. Grigorchuk, R. Kravchenko
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Unitary representability of free abelian topological groups
Applied General Topology, 2008 For every Tikhonov space X the free abelian topological group A(X) and the free locally convex vector space L(X) admit a topologically faithful unitary representation. For compact spaces X this is due to Jorge Galindo.
Vladimir V. Uspenskij
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Algorithmic problems for free-abelian times free groups [PDF]
, 2013 We study direct products of free-abelian and free groups with special emphasis on algorithmic problems. After giving natural extensions of standard notions into that family, we find an explicit expression for an arbitrary endomorphism of $\ZZ^m \times ...
Delgado, J., Ventura, E.
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n-capability of A-groups [PDF]
Mathematics Interdisciplinary Research, 2020 Following P. Hall a soluble group whose Sylow subgroups are all abelian is called A-group. The purpose of this article is to give a new and shorter proof for a criterion on the capability of A-groups of order p2q, where p and q are distinct primes ...
Marzieh Chakaneh +2 more
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