Cycle index

id: cycle-index-322-7367398
title: Cycle index
text: In combinatorial mathematics a cycle index is a polynomial in several variables which is structured in such a way that information about how a group of permutations acts on a set can be simply read off from the coefficients and exponents. This compact way of storing information in an algebraic form is frequently used in combinatorial enumeration. Each permutation π of a finite set of objects partitions that set into cycles; the cycle index monomial of π is a monomial in variables a1, a2, … that
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Cycle_index
date created:
date modified: 2023-11-30T14:06:03Z
main entity: {"identifier":"Q245446","url":"https://www.wikidata.org/entity/Q245446"}
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fields total: 13
integrity: 13

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