# Category:Permutations on Polynomials

Jump to navigation
Jump to search

This category contains results about Permutations on Polynomials.

Let $\map f {x_1, x_2, \ldots, x_n}$ denote a polynomial in $n$ variables $x_1, x_2, \ldots, x_n$.

Let $S_n$ denote the symmetric group on $n$ letters.

Let $\pi, \rho \in S_n$.

Then $\pi * f$ is the polynomial obtained by applying the permutation $\pi$ to the subscripts on the variables of $f$.

This is called the **permutation on the polynomial $f$ by $\pi$**, or the $f$-permutation by $\pi$.

## Subcategories

This category has only the following subcategory.