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Sylow Subgroups of the Chevalley Groups and Associated (Weakly) Finitary Groups and Rings

✍ Scribed by V. M. Levchuk


Publisher
Springer Netherlands
Year
2005
Tongue
English
Weight
161 KB
Volume
85
Category
Article
ISSN
0167-8019

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Characters of the Borel and Sylow subgro
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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-