Generators and killers for direct and free products

DOI10.1007/BF01224966zbMath0447.20029MaRDI QIDQ1146258

James Wiegold, John C. Lennox

Publication date: 1980

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

growth sequencedirect powerfinitely generated soluble groupfinitely generated perfect groupkilling number

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Simple groups (20E32) Generators, relations, and presentations of groups (20F05) Extensions, wreath products, and other compositions of groups (20E22) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (6)

IS AN IRNG SINGLY GENERATED AS AN IDEAL? ⋮ Normal generation and \(\ell^2\)-Betti numbers of groups. ⋮ GROWTH RATES OF ALGEBRAS, I: POINTED CUBE TERMS ⋮ On Andrews–Curtis conjectures for soluble groups ⋮ The size of generating sets of powers ⋮ A spelling theorem for staggered generalized 2-complexes, with applications

Cites Work

• Growth sequences of finitely generated groups
• Growth sequences of finite groups II
• Growth sequences of finite groups
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