A generating function approach to counting theorems for square-free polynomials and maximal tori
Combinatorics
2014-10-15 v1 Algebraic Topology
Representation Theory
Abstract
A recent paper of Church, Ellenberg, and Farb uses topology and representation theory of the symmetric group to prove enumerative results about square-free polynomials and F-stable maximal tori of the general linear group over the algebraic closure of F_q. In this note, we use generating functions to give elementary proofs of some of their results, and some extensions.
Keywords
Cite
@article{arxiv.1410.3540,
title = {A generating function approach to counting theorems for square-free polynomials and maximal tori},
author = {Jason Fulman},
journal= {arXiv preprint arXiv:1410.3540},
year = {2014}
}
Comments
13 pages