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The Conjugacy Problem in Free Solvable Groups and Wreath Products of Abelian Groups is in TC0

Theory of Computing Systems, 2016
We show that the conjugacy problem in a wreath product A ≀ B is uniform-TC0-Turing-reducible to the conjugacy problem in the factors A and B and the power problem in B.
A. Miasnikov, S. Vassileva, A. Weiss
semanticscholar   +1 more source

Sum-free sets in abelian groups

Israel Journal of Mathematics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lev, Vsevolod   +2 more
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ON AUTOMORPHISMS OF FREE NILPOTENT-BY-ABELIAN GROUPS

International Journal of Algebra and Computation, 2006
For a positive integer n, with n ≥ 4, let Gn be a free nilpotent of class 2-by-abelian group of rank n. In this paper, it is shown that the automorphism group of Gn is generated by the tame automorphisms of Gn and an explicitly given set of non-tame IA-automorphisms of Gn. This extends a result of Gupta and Levin [9].
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Isomorphic Group Rings of Free Abelian Groups

Canadian Journal of Mathematics, 1982
S. K. Sehgal ([9], Problem 26) proposed the following question : Let A, B be rings and X an infinite cyclic group. Does AX ⋍ BX imply A ⋍ B? M. M. Parmenter and S. K. Sehgal (cf. [9], Chapter 4) proved that, under some strong assumptions concerning rings A, B, the answer is affirmative.
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Direct Decompositions of Torsion-Free Abelian Groups

Lobachevskii Journal of Mathematics, 2020
E. Blagoveshchenskaya
semanticscholar   +1 more source

Local Abelian Torsion-Free Groups

Journal of Mathematical Sciences, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Enumerations and Torsion Free Abelian Groups

2007
We study possible spectrums of torsion free Abelian groups. We code families of finite sets into group and set up the correspondence between their algorithmic complexities.
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