The isomorphism problem for one-relator groups with non-trivial centre

DOI10.1007/BF01214345zbMath0264.20029MaRDI QIDQ2561653

Alfred Pietrowski

Publication date: 1974

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172028

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Automorphisms of infinite groups (20E36)

Related Items (23)

FREE GROUP ROOTS OF a^kb^l AND [ a^k,b] ⋮ Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces ⋮ An algorithm for stem products and one-relator groups ⋮ Stability of group relations under small Hilbert-Schmidt perturbations ⋮ Cyclic amalgams, HNN extensions, and Garside one-relator groups ⋮ On the automorphism group of generalized Baumslag-Solitar groups. ⋮ On the conjugacy separability of certain graphs of groups ⋮ A note on groups with separable finitely generated subgroups ⋮ Incommensurable lattices in Baumslag–Solitar complexes ⋮ One-relator groups and the lower central series. I: The splitting isomorphism ⋮ Residually nilpotent one-relator groups with nontrivial centre ⋮ Infinite groups ⋮ Homotopical and combinatorial aspects of the theory of normal series in groups. ⋮ On the structure of one-relator products of locally indicable groups with centre ⋮ Normal subgroups in duality groups and in groups of cohomological dimension 2 ⋮ A class of one-relator groups with centre ⋮ Acylindrical hyperbolicity of groups acting on trees ⋮ Generalized Baumslag-Solitar groups: rank and finite index subgroups ⋮ A Ribbon Knot Group which has no Free Base ⋮ The structure of one-relator relative presentations and their centres ⋮ Algebraic geometric invariants for a class of one-relator groups ⋮ Model-theoretic and algorithmic questions in group theory ⋮ Commensurability of Baumslag-Solitar groups

Cites Work

• Unnamed Item
• The centre of groups with one defining relator
• The center of a group with a single defining relation
• Finite and infinite cyclic extensions of free groups
• One-relater groups with center
• On the Center of the Group of a Link
• The Subgroups of a Free Product of Two Groups with an Amalgamated Subgroup

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