A class of one-relator groups with centre

DOI10.1017/S0004972700029683zbMath0726.20020OpenAlexW2142600986MaRDI QIDQ3348192

James McCool

Publication date: 1991

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700029683

zbMATH Keywords

one-relator groupgenerating setNielsen transformationsone-relator presentation

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05)

Related Items (5)

FREE GROUP ROOTS OF a^kb^l AND [ a^k,b] ⋮ Cyclic amalgams, HNN extensions, and Garside one-relator groups ⋮ On the automorphism group of generalized Baumslag-Solitar groups. ⋮ Generalized Baumslag-Solitar groups: rank and finite index subgroups ⋮ Commensurability of Baumslag-Solitar groups

Cites Work

• Generators of the free product with amalgamation of two infinite cyclic groups
• Generation and presentation of one-relator groups with centre
• Presentations of the amalgamated free product of two infinite cycles
• The centre of groups with one defining relator
• The isomorphism problem for one-relator groups with non-trivial centre
• The center of a group with a single defining relation

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