Conjugacy classes whose square is an infinite symmetric group

Gadi Moran

doi:10.1090/S0002-9947-1989-1020501-5

Conjugacy classes whose square is an infinite symmetric group

Gadi Moran

Department of Mathematics

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

Abstract

Let X_v be the set of all permutations ζ of an infinite set A of cardinality ℵ_v with the property: every permutation of A is a product of two conjugates of ζ. The set X₀ is shown to be the set of permutations ζ satisfying one of the following three conditions.

Original language	English
Pages (from-to)	493-522
Number of pages	30
Journal	Transactions of the American Mathematical Society
Volume	316
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9947-1989-1020501-5
State	Published - Dec 1989

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9947-1989-1020501-5

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abstract = "Let Xv be the set of all permutations ζ of an infinite set A of cardinality ℵv with the property: every permutation of A is a product of two conjugates of ζ. The set X0 is shown to be the set of permutations ζ satisfying one of the following three conditions.",

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AB - Let Xv be the set of all permutations ζ of an infinite set A of cardinality ℵv with the property: every permutation of A is a product of two conjugates of ζ. The set X0 is shown to be the set of permutations ζ satisfying one of the following three conditions.

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Conjugacy classes whose square is an infinite symmetric group

Abstract

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