Abstract
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 B 2 2 ( q ) and G 2 2 ( q ) .
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