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The Conjugacy Problem in Free Solvable Groups and Wreath Products of Abelian Groups is in TC0
Theory of Computing Systems, 2016We 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
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Sum-free sets in abelian groups
Israel Journal of Mathematics, 2001zbMATH 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, 2006For 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, 1982S. 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, 2020E. Blagoveshchenskaya
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Local Abelian Torsion-Free Groups
Journal of Mathematical Sciences, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Enumerations and Torsion Free Abelian Groups
2007We 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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On the square subgroups of decomposable torsion-free abelian groups of rank three
, 2016F. Hasani +3 more
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