Finitary representations and images of transitive finitary permutation groups

DOI10.1006/JABR.1999.8029zbMath0947.20002OpenAlexW2074817922MaRDI QIDQ1969371

Felix Leinen, Orazio Puglisi

Publication date: 5 November 2000

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

Full work available at URL: https://semanticscholar.org/paper/3c61a316df573f0ae565d515f60d18c292e958a4

zbMATH Keywords

finitary linear groupsimagestotally imprimitive finitary permutation groupsfinitary permutation representationstransitive finitary permutation groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Other matrix groups over rings (20H25) General theory for infinite permutation groups (20B07)

Related Items (4)

Groups with finitary classes of conjugate elements. ⋮ Permutation groups with cyclic-block property and $MNFC$-groups ⋮ Subgroups of finitary permutation groups ⋮ Subgroups of totally imprimitive permutation groups

Cites Work

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• Infinite alternating groups as finitary linear transformation groups
• The structure of groups of finitary transformations
• Groups of finitary permutations
• The structure of finitary permutation groups
• The lawlessness of groups of finitary permutations
• Periodic normal subgroups of linear groups
• Images of periodic linear groups
• Residual properties of finitary linear groups
• Finitary linear representations of infinite symmetric and alternating groups
• Normal subgroups of finitary permutation groups
• Metric and topological aspects of the symmetric group of countable degree
• Periodic FC -Groups
• Faithful linear representations of certain free nilpotent groups
• Countable recognizability of primitive periodic finitary linear groups

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