# Journal of Group Theory

Editor-in-Chief: Parker, Christopher W. / Wilson, John S.

Managing Editor: Howie, James / Khukhro, Evgenii I. / Kramer, Linus

6 Issues per year

IMPACT FACTOR increased in 2014: 0.443
5-year IMPACT FACTOR: 0.493

SCImago Journal Rank (SJR) 2014: 0.831
Source Normalized Impact per Paper (SNIP) 2014: 0.804
Impact per Publication (IPP) 2014: 0.411

Mathematical Citation Quotient (MCQ) 2014: 0.48

# Restricting the Steinberg character in finite symplectic groups

Citation Information: Journal of Group Theory. Volume 9, Issue 2, Pages 251–264, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: 10.1515/JGT.2006.017, May 2006

### Publication History

2004-11-08
Revised:
2004-12-20
Published Online:
2006-05-16

## Abstract

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.

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