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Jianbei An, Gerhard Hiss

Restricting the Steinberg character in finite symplectic groups

We determine the restriction of the Steinberg character of a finite symplectic group of odd characteristic to its maximal parabolic subgroup stabilizing a line. We relate this restriction to the tensor product of a Weil character with the Steinberg character. As an application we prove that Donovan's conjecture has a positive answer for unipotent l-blocks of the six-dimensional symplectic groups of odd characteristic when l > 3.

Journal of Group Theory, Walter de Gruyter

Print ISSN: 1433-5883
Volume: 9, 03/2006
Pages: 251 - 264

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