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Results tagged with finite-groups
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user 919
Questions on group theory which concern finite groups.
3
votes
Steinberg Representations of Finite Groups of Lie Type
I don't think so. Let $T$ be an $F$-stable torus. A character of $T^F$ is in general position if its stabiliser under $N_G(T)/T$ is trivial. I assume by generic you mean "obtained by Deligne-Lusztig i …
- 6,162
5
votes
Representation of GL(n, F_p) over F_p, for n small
(For simplicity I will discuss $G = SL_n$. Making the necessary modifications to $GL_n$ shouldn't be hard.)
The most important result here is Steinberg's restriction theorem, which tells you that the …
- 6,162