Irreducible restrictions of Brauer characters of the Chevalley group G_2(q) to its proper subgroups

Details Irreducible restrictions of Brauer characters of the Chevalley group G_2(q) to its proper subgroups Irreducible restrictions of Brauer characters of the Chevalley group G_2(q) to its proper subgroups

2009-10-26

arxiv.org/abs/0910.4994v1

J. Algebra 320, 2008

Mathematics

Representation Theory

30 pages

Scientific paper

Let $G_2(q)$ be the Chevalley group of type $G_2$ defined over a finite field with q=p^n elements, where p is a prime number and $n$ is a positive integer. In this paper, we determine when the restriction of an absolutely irreducible representation of $G$ in characteristic other than p to a maximal subgroup of $G_2(q)$ is still irreducible. Similar results are obtained for $^2B_2(q)$ and $^2G_2(q)$.

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