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Totally permutable torsion subgroups [PDF]
Journal of Group Theory, 1999 H. Heineken, J. Beidleman
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The soluble subgroups of a one-relator group with torsion
Journal of the Australian Mathematical Society, 1973In a survey article [1] Baumslag posed the problem of determining the abelian subgroups of a one-relator group. The solution of this problem was stated but not proved in [5], and partly solved by Moldavanskii [4]. In this paper it will be proved that the centralizer of every non-trivial element in a one-relator group with torsion is cyclic, and that ...
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Rational torsion subgroups of modular Jacobian varieties
Journal of Number Theory, 2018Abstract In this article, we study the Q -rational torsion subgroups of the Jacobian varieties of modular curves. The main result is that, for any positive integer N, J 0 ( N ) ( Q ) tor [ q ∞ ] = 0 if q is a prime not dividing 6 ⋅ N ⋅ ∏ p | N ( p 2 − 1 ) .
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On torsion subgroups of whitehead groups of division algebras
Manuscripta Mathematica, 2012We completely determine all torsion abelian groups that can occur as the torsion subgroup of the Whitehead group of a division algebra of prime index. More precisely, we prove that if D is a division algebra of prime index, then the torsion subgroup of K1(D) is locally cyclic.
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The finite torsion subgroup of an LCA group need not split
, 1995J. A. Khan
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On torsion subgroups of whitehead groups
AIP Conference Proceedings, 2019Driss Beniss +2 more
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Torsion-free groups in which every subgroup is subnormal
, 2001Carlo Casolo
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Elementary theory of abelian groups without torsion, with a predicate selecting a subgroup
, 1969G. Kozlov, A. I. Kokorin
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