For a prime $r$, we obtain lower bounds on the proportion of $r$-regular
elements in classical groups and show that these lower bounds are the best
possible lower bounds that do not depend on the order of the defining field.
Along the way, we also provide new upper bounds and answer some open questions
of the first author, P\'{a}lfy and Saxl.Comment: 22 page

Babai, Laszlo

Guest, Simon

Praeger, Cheryl E.

Wilson, Robert

English

arXiv

László Babai

Simon Guest

Cheryl E. Praeger

Robert A. Wilson

Crossref

Journal of the London Mathematical Society

Proportions of <i>r</i>
-regular elements in finite classical groups

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Proportions of r-regular elements in finite classical groups

Proportions of r-regular elements in finite classical groups

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Southampton (e-Prints Soton)