Cubes of Conjugacy Classes Covering the Infinite Symmetric Group

DOI10.2307/2000445zbMath0526.20003OpenAlexW4231641308MaRDI QIDQ3041395

Manfred Droste

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2000445

zbMATH Keywords

conjugacy classesinfinite symmetric groupsproduct of conjugatesfixed-point-free involution

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Symmetric groups (20B30)

Related Items (6)

Conjugacy Classes Whose Square is an Infinite Symmetric Group ⋮ The normal subsemigroups of the monoid of injective maps. ⋮ Squares of Conjugacy Classes in the Infinite Symmetric Groups ⋮ The reverse spelling of an FPrt-universal word in two letters ⋮ Products of Involution Classes in Infinite Symmetric Groups ⋮ The equation \(s=(x^ 2y^ 2)^ 3y^ 2\) is solvable in the symmetric group on Z

Cites Work

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• On a theorem of Baer, Schreier, and Ulam for permutations
• Products of conjugacy classes of the infinite symmetric groups
• On the universality of systems of words in permutation groups
• Classes of universal words for the infinite symmetric groups
• Products of conjugate permutations
• Parity features for classes of the infinite symmetric group
• The product of two reflection classes of the symmetric group
• Permutations as products of conjugate infinite cycles
• Even permutations as a product of two conjugate cycles
• On a theorem of Schreier and Ulam for countable permutations
• On Planar Eulerian Graphs and Permutations
• Über die Permutationsgruppe der natürlichen Zahlenfolge
• Some Remarks on Commutators
• Ramified coverings of Riemann surfaces

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