Conjugacy Classes Whose Square is an Infinite Symmetric Group

DOI10.2307/2001358zbMath0684.20001OpenAlexW4251351321MaRDI QIDQ4734000

Gadi Moran

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2001358

zbMATH Keywords

permutationsconjugacy classesinfinite symmetric groupcountably infinite setbicolored planar graphsinfinite orbits

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) General theory for infinite permutation groups (20B07) Symmetric groups (20B30)

Related Items (4)

The normal subsemigroups of the monoid of injective maps. ⋮ On generating sets of infinite symmetric group ⋮ Conjugation of injections by permutations. ⋮ Squares of Conjugacy Classes in the Infinite Symmetric Groups

Cites Work

• Unnamed Item
• On a theorem of Baer, Schreier, and Ulam for permutations
• Products of conjugacy classes of the infinite symmetric groups
• The products of conjugacy classes in some infinite simple groups
• Products of conjugate permutations
• Cycles comme produit de deux permutations de classes données
• Parity features for classes of the infinite symmetric group
• The product of two reflection classes of the symmetric group
• Products of conjugacy classes in groups
• On a theorem of Schreier and Ulam for countable permutations
• Cubes of Conjugacy Classes Covering the Infinite Symmetric Group
• Some Constructions for Locally Finite Groups
• On Planar Eulerian Graphs and Permutations
• Squares of Conjugacy Classes in the Infinite Symmetric Groups
• Products of Involution Classes in Infinite Symmetric Groups
• Some Remarks on Commutators

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