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On the Irreducible Characters of a Sylow 2-Subgroup of the Finite Symplectic Group in Characteristic 2

✍ Scribed by Rod Gow; Martin Marjoram; Andrea Previtali

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 124 KB
Volume: 241
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.8755

No coin nor oath required. For personal study only.

✦ Synopsis

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 an irreducible complex character of P . m We include related results on the degrees of the irreducible characters of a Sylow q Ž . 2-subgroup of the split special orthogonal group SO q when q is a power of 2.

2 m

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