Relatively homogeneous locally finite permutation groups

DOI10.1007/BF01161918zbMath0622.20001OpenAlexW2049862891MaRDI QIDQ1090756

Kenneth Keller Hickin

Publication date: 1987

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173851

zbMATH Keywords

finite subgroupsorbitslocally finite groupssharpnesslocal systemnormal complementsfinitely generated subgroupmaximal p-subgrouphighly transitive permutation groupshomogeneity for permutation groupsrelatively homogeneousrelatively homogeneous permutation representations

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) General theory for infinite permutation groups (20B07) Local properties of groups (20E25) Subgroups of symmetric groups (20B35) Multiply transitive infinite groups (20B22)

Cites Work

• Examples of highly transitive permutation groups
• Existentially closed structures in the power of the continuum
• Some Applications of Tree-Limits to Groups. Part 1
• Embeddings of infinite permutation groups in sharp, highly transitive, and homogeneous groups
• Groups Covered By Permutable Subsets

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