arXiv:math/9712239 Abstract

arXiv:math/9712239 [math.GR]Abstract References Reviews Resources

Cycle indices for the finite classical groups

Published 1997-12-09Version 1

This paper defines and develops cycle indices for the finite classical groups. These tools are then applied to study properties of a random matrix chosen uniformly from one of these groups. Properties studied by this technique will include semisimplicity, regularity, regular semisimplicity, the characteristic polynomial, number of Jordan blocks, and average order of a matrix.

Comments: 35 pages

Categories: math.GR, math.CO

Subjects: 20G40, 05E15

Keywords: finite classical groups, cycle indices, paper defines, jordan blocks, characteristic polynomial

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