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On the subgroup structure of classical groups

✍ Scribed by Martin W. Liebeck; Gary M. Seitz


Publisher
Springer-Verlag
Year
1998
Tongue
English
Weight
359 KB
Volume
134
Category
Article
ISSN
0020-9910

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Let G be a classical group over the field with q = p d elements. We prove that if p is an odd prime then the irreducible characters of the Sylow p-subgroup of G have degrees that are powers of q. Moreover, we prove that if p is odd and G is not the unitary group then the Borel subgroup of G is an M-