Products of conjugacy classes of the infinite symmetric groups

DOI10.1016/0012-365X(83)90070-5zbMath0539.20003MaRDI QIDQ793830

Manfred Droste

Publication date: 1983

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

number of orbitsinvolutioninfinite alternating groupinfinite orbitproduct of 2 conjugates

Mathematics Subject Classification ID

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

Related Items (9)

Cubes of Conjugacy Classes Covering the Infinite Symmetric Group ⋮ Conjugacy Classes Whose Square is an Infinite Symmetric Group ⋮ Conjugation of injections by permutations. ⋮ 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 products of conjugacy classes in some infinite simple groups ⋮ Classes of universal words for the infinite symmetric groups ⋮ The equation \(s=(x^ 2y^ 2)^ 3y^ 2\) is solvable in the symmetric group on Z

Cites Work

• Unnamed Item
• On a theorem of Baer, Schreier, and Ulam for permutations
• 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
• On a theorem of Schreier and Ulam for countable permutations
• Über die Permutationsgruppe der natürlichen Zahlenfolge
• Some Remarks on Commutators

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