Cycle indices for finite orthogonal groups of even characteristic
Representation Theory
2010-04-16 v1 Combinatorics
Group Theory
Abstract
We develop cycle index generating functions for orthogonal groups in even characteristic, and give some enumerative applications. A key step is the determination of the values of the complex linear-Weil characters of the finite symplectic group, and their inductions to the general linear group, at unipotent elements. We also define and study several natural probability measures on integer partitions.
Keywords
Cite
@article{arxiv.1004.2678,
title = {Cycle indices for finite orthogonal groups of even characteristic},
author = {Jason Fulman and Jan Saxl and Pham Huu Tiep},
journal= {arXiv preprint arXiv:1004.2678},
year = {2010}
}
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30 pages