symmetric group

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symmetric group

n.
A group consisting of all possible permutations of a given number of items.
References in periodicals archive ?
Tsilevich, Induced representations of the infinite symmetric group and their spectral theory, Dokl.
Oko97] Andrei Okounkov, On representations of the infinite symmetric group, Zap.
Kanovei begins with an explanation of the descriptive said he read it back ground, and some theorems of descriptive set theory, then progresses to such topics as Borel ideals, equivalence relations, Borel reducibility of equivalents relations, elementary results, countable equivalence relations, hyperfinite equivalence relations, the first and second dichotomy theorems actions of the infinite symmetric group, turbulent group actions, summable equivalence relations, equalities, pinned equivalence relations, and the production of Borel equivalence relations to Borel ideals.