The embedding of certain linear and Abelian groups in finitely presented simple groups

DOI10.1016/0021-8693(84)90173-XzbMath0544.20028MaRDI QIDQ796645

Elizabeth A. Scott

Publication date: 1984

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

finitely presented simple groupscountable locally finite groupembedding groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Simple groups (20E32) Generators, relations, and presentations of groups (20F05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

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Strong Tits alternatives for compact 3-manifolds with boundary ⋮ Some embeddings between symmetric R. thompson groups ⋮ Some isomorphism results for Thompson-like groups \(V_n(G)\) ⋮ Constructing finitely presented simple groups that contain Grigorchuk groups ⋮ A construction which can be used to produce finitely presented infinite simple groups

Cites Work

• A construction which can be used to produce finitely presented infinite simple groups
• Subgroups of finitely presented groups
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