Parity features for classes of the infinite symmetric group

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A conjugacy class in the infinite-symmetric group is said to have parity features if no finitary odd permutation is a product of two of its members. The conjugacy classes having parity features are determined. The role played by a property of this kind in determining products of conjugacy classes in any group in which every element is conjugate with its inverse is studied.

Original languageEnglish
Pages (from-to)82-98
Number of pages17
JournalJournal of Combinatorial Theory. Series A
Issue number1
StatePublished - Jul 1982

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics


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