Periodic groups generated by finite amalgams

DOI10.1017/S0305004100056644zbMath0437.20032OpenAlexW2052849453MaRDI QIDQ3877858

Richard E. Phillips, J. M. Plotkin, Kenneth Keller Hickin

Publication date: 1980

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100056644

zbMATH Keywords

embedding theoremsinfinite periodic groupsamalgam of two finite groupscountable, periodic non-abelian simple group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Simple groups (20E32) Generators, relations, and presentations of groups (20F05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Cites Work

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• Superatomic Boolean algebras
• Joins of Periodic Groups
• An Embedding Theorem for Periodic Groups
• Embedding Methods for Periodic Groups
• The Subgroups of a Free Product of Two Groups with an Amalgamated Subgroup

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