Abstract
In 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 the soluble subgroups of a one-relator groups with torsion are cyclic groups or the infinite dihedral group. That both types of groups may occur as subgroups is easily seen by considering
Publisher
Cambridge University Press (CUP)
Reference5 articles.
1. Some results on one-relator groups
2. Finitely generated -groups
3. Certain subgroup of groups with one defining relation;Moldavanskii;Sibirsk. Mat. Z.,1967
4. Groups with one defining relator
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