Involutions and characters of upper triangular matrix groups

Authors:
I. M. Isaacs and Dikran B. Karagueuzian

Journal:
Math. Comp. **74** (2005), 2027-2033

MSC (2000):
Primary 20C15; Secondary 20D15

Published electronically:
March 24, 2005

MathSciNet review:
2164110

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We study the realizability over of representations of the group of upper-triangular matrices over . We prove that all the representations of are realizable over if , but that if , has representations not realizable over . This theorem is a variation on a result that can be obtained by combining work of J. Arregi and A. Vera-López and of the authors, but the proof of the theorem in this paper is much more natural.

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Additional Information

**I. M. Isaacs**

Affiliation:
Mathematics Department, University of Wisconsin at Madison, Madison, Wisconsin 53706

Email:
isaacs@math.wisc.edu

**Dikran B. Karagueuzian**

Affiliation:
Mathematics Department, Binghamton University, Binghamton, New York, 13902-6000

Email:
dikran@math.binghamton.edu

DOI:
https://doi.org/10.1090/S0025-5718-05-01705-9

Keywords:
Character theory,
finite groups,
p-groups

Received by editor(s):
August 6, 2002

Received by editor(s) in revised form:
February 24, 2004

Published electronically:
March 24, 2005

Additional Notes:
The research of the second author was partially supported by an N.S.F. Postdoctoral Fellowship, the MPIM-Bonn, and the CRM-Barcelona.

Article copyright:
© Copyright 2005
American Mathematical Society