Semisimple symplectic characters of finite unitary groups

Authors

Bhama Srinivasan
C. Ryan Vinroot, William & MaryFollow

Document Type

Article

Department/Program

Mathematics

Journal Title

Journal of Algebra

Pub Date

2012

Volume

351

Issue

1

First Page

459

Abstract

Let G = U(2m, F(q2)) be the finite unitary group, with q the power of an odd prime p. We prove that the number of irreducible complex characters of G with degree not divisible by p and with Frobenius-Schur indicator -1 is q(m-1). (C) 2011 Elsevier Inc. All rights reserved.

Recommended Citation

Srinivasan, Bhama and Vinroot, C. Ryan, Semisimple symplectic characters of finite unitary groups (2012). Journal of Algebra, 351(1), 459-466.
10.1016/j.jalgebra.2011.08.012

DOI

10.1016/j.jalgebra.2011.08.012