One-relater groups with center

DOI10.1017/S1446788700015111zbMath0273.20029MaRDI QIDQ5181868

S. Meskin, Arthur Steinberg, Alfred Pietrowski

Publication date: 1973

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

Mathematics Subject Classification ID

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

Related Items (10)

FREE GROUP ROOTS OF a^kb^l AND [ a^k,b] ⋮ Construction of isolated left orderings via partially central cyclic amalgamation. ⋮ Cyclic amalgams, HNN extensions, and Garside one-relator groups ⋮ Infinite groups ⋮ On the structure of one-relator products of locally indicable groups with centre ⋮ Generation and presentation of one-relator groups with centre ⋮ A Ribbon Knot Group which has no Free Base ⋮ The isomorphism problem for one-relator groups with non-trivial centre ⋮ Algebraic geometric invariants for a class of one-relator groups ⋮ On roots of \(a^ kb^{\ell}\)

Cites Work

• The centre of groups with one defining relator
• The center of a group with a single defining relation
• Elements of finite order in groups with a single defining relation

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