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InvariantRing :: cyclicFactors

cyclicFactors -- of a diagonal action

Synopsis

Description

This function is provided by the package InvariantRing.

Use this function to recover the cyclic abelian factors of a diagonal action on a polynomial ring.

The following example defines an action of a product of two cyclic groups of order 3 acting on a three-dimensional vector space.

i1 : R = QQ[x_1..x_3]

o1 = R

o1 : PolynomialRing
i2 : d = {3,3}

o2 = {3, 3}

o2 : List
i3 : W = matrix{{1,0,1},{0,1,1}}

o3 = | 1 0 1 |
     | 0 1 1 |

              2        3
o3 : Matrix ZZ  <--- ZZ
i4 : A = diagonalAction(W, d, R)

o4 = R <- ZZ/3 x ZZ/3 via 

     | 1 0 1 |
     | 0 1 1 |

o4 : DiagonalAction
i5 : cyclicFactors A

o5 = {3, 3}

o5 : List

See also

Ways to use cyclicFactors :

For the programmer

The object cyclicFactors is a method function.