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Cycle Index Computations
Author

Eugene Curtin
Organization: Southwest Texas State University
Old MathSource #

0210-474
Revision date

1999-08-02
Description

The package CycleIndices.m contains functions giving the cycle indices of common permutation groups. Cycle indices for the identity group, cyclic groups, dihedral groups, symmetric groups and alternating groups are included. Functions are available to compute various operations on cycle indices commonly needed in graphical enumeration problems and other applications of Polya enumeration. The package can compute the cycle indices for product group and wreath product group actions. It can compute cup and cap products of cycle indices.
Subject

*Mathematics > Algebra > Group Theory
Keywords

Cycle Index, Polya Theory, Combinatorics, Permutation Groups, Enumeration
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CycleIndexExamples.nb (26.1 KB) - Mathematica notebook
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CycleIndices.m (20 KB) - Mathematica package