Parity features for classes of the infinite symmetric group

Gadi Moran

doi:10.1016/0097-3165(82)90081-4

Parity features for classes of the infinite symmetric group

Gadi Moran

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	82-98
Number of pages	17
Journal	Journal of Combinatorial Theory. Series A
Volume	33
Issue number	1
DOIs	https://doi.org/10.1016/0097-3165(82)90081-4
State	Published - Jul 1982

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1016/0097-3165(82)90081-4

Cite this

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Parity features for classes of the infinite symmetric group

Abstract

ASJC Scopus subject areas

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