Title

Writing projective representations over subfields

Authors

Stephen P. Glasby, Central Washington University
C. R. Leedham-Green, Queen Mary University of London
E. A. O'Brien, University of Auckland

Document Type

Article

Department or Administrative Unit

Mathematics

Publication Date

1-1-2006

Abstract

Let G=〈X〉be an absolutely irreducible subgroup of GL(d, K), and let F be a proper subfield of the finite field K. We present a practical algorithm to decide constructively whether or not G is conjugate to a subgroup of GL(d, F).K×, where K× denotes the centre of GL(d, K). If the derived group of G also acts absolutely irreducibly, then the algorithm is Las Vegas and costs O(|X|d³+d²log|F|) arithmetic operations in K. This work forms part of a recognition project based on Aschbacher’s classification of maximal subgroups of GL(d, K).

Comments

The download link on this page is to an accepted manuscript version of this article and may not be the final version of this article.

This article was originally published in Journal of Algebra. The full-text article from the publisher can be found here.

Recommended Citation

Glasby, Stephen P.; Leedham-Green, C. R.; and O'Brien, E. A., "Writing projective representations over subfields" (2006). All Faculty Scholarship for the College of the Sciences. 238.
https://digitalcommons.cwu.edu/cotsfac/238

Journal

Journal of Algebra

Rights

© 2005 Elsevier Inc. All rights reserved.