Embedding groups in locally (soluble-by-finite) simple groups

DOI10.1515/JGT.2006.026zbMath1120.20030OpenAlexW2016210554MaRDI QIDQ5480097

Martyn R. Dixon, Howard Smith, Martin J. Evans

Publication date: 25 July 2006

Published in: jgth (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2006.026

zbMATH Keywords

locally finite groupsembedding propertiesfinitely generated soluble-by-finite groupslocally residually finite groupssoluble-by-finite simple groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Simple groups (20E32) Residual properties and generalizations; residually finite groups (20E26) Local properties of groups (20E25)

Related Items (10)

On totally inert simple groups. ⋮ Simple groups with prescribed local properties ⋮ Simple groups with prescribed local structure. ⋮ Groups whose proper subgroups are Baer-by-Chernikov or Baer-by-(finite rank). ⋮ Residually finite subgroups of locally nilpotent groups. ⋮ On some ranks of infinite groups. ⋮ Modular permutations on \(\mathbb{Z}\). ⋮ Groups with all proper subgroups soluble-by-finite rank. ⋮ Inertial properties in groups ⋮ Residually finite subgroups of some countable McLain groups.

Cites Work

• Embedding theorems for residually finite groups
• Groups with all proper subgroups soluble-by-finite rank.
• Free subgroups in linear groups
• On the structure of standard wreath products of groups
• Embeddings into Simple Groups
• Embedding Theorems for Groups

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