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The average order of a matrix

Authors
Journal
Journal of Combinatorial Theory Series A
0097-3165
Publisher
Elsevier
Publication Date
Volume
64
Issue
2
Identifiers
DOI: 10.1016/0097-3165(93)90102-e

Abstract

Abstract Let GL( n, q) denote the group of invertible n × n matrices over the finite field with q elements and let v n denote the average order of an element in this group. We show that for n large log v n = n log q − log n + o(log n).

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