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Characters Induced from Sylow Subgroups

✍ Scribed by Udo Riese; Peter Schmid

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 184 KB
Volume: 207
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7480

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We show that if P is a Sylow 2-subgroup of the finite symplectic group m Ž . ## Sp q , where q is a power of 2, then P has irreducible complex characters of 2 m m yt mŽ my1.r2 w x degree 2 q , where t is any integer satisfying 0 F t F mr2 , and that q mŽ my1.r2 is the largest possible degree of a