Closed subgroups of the infinite symmetric group.

DOI10.1007/S00012-006-1959-ZzbMath1111.20004arXivmath/0401305OpenAlexW2163622252MaRDI QIDQ861597

George M. Bergman, Saharon Shelah

Publication date: 29 January 2007

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

Full work available at URL: https://arxiv.org/abs/math/0401305

zbMATH Keywords

cardinalities of orbits of stabilizers of finite setsequivalence relations on subgroupsfull permutation group on countably infinite setsubgroups closed in function topology

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) General theory for infinite permutation groups (20B07) Symmetric groups (20B30)

Related Items (9)

Endomorphism rings generated using small numbers of elements ⋮ Collineation group as a subgroup of the symmetric group. ⋮ Relative ranks of Lipschitz mappings on countable discrete metric spaces ⋮ Generating transformation semigroups using endomorphisms of preorders, graphs, and tolerances. ⋮ Topological automorphism groups of compact quantum groups ⋮ Some results on embeddings of algebras, after de Bruijn and McKenzie ⋮ Generating the infinite symmetric group using a closed subgroup and the least number of other elements ⋮ Maximal subsemigroups of the semigroup of all mappings on an infinite set ⋮ The Bergman-Shelah preorder on transformation semigroups

This page was built for publication: Closed subgroups of the infinite symmetric group.