Cross characteristic representations of $^3D_4(q)$ are Reducible over proper subgroups

Details Cross characteristic representations of $^3D_4(q)$ are Reducible over proper subgroups Cross characteristic representations of $^3D_4(q)$ are Reducible over proper subgroups

2009-10-26

arxiv.org/abs/0910.4888v1

J. Group Theory 11, 2008

Mathematics

Representation Theory

12 pages; with an appendix by Frank Himstedt

Scientific paper

We prove that the restriction of any absolutely irreducible representation of
Steinberg's triality groups $^3D_4(q)$ in characteristic coprime to q to any
proper subgroup is reducible

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