Title

On prime power order elements of general linear groups

School/Department

School of Science Technology and Health

Publication Date

10-2012

Abstract

We will classify the absolutely irreducible subgroups G⩽GLd(q)" role="presentation"> which are not realizable modulo scalars over any proper subfield of GF(q)" role="presentation">, which are “nearly simple”, and which contain elements of prime power order greater than d/3" role="presentation">.

Keywords

Representation theory; Lie groups

Publication Title

Journal of Algebra

Volume

367

First Page

222

Last Page

236

DOI of Published Version

10.1016/j.jalgebra.2012.03.044

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