#### Vol. 300, No. 2, 2019

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Fields of character values for finite special unitary groups

### A. A. Schaeffer Fry and C. Ryan Vinroot

Vol. 300 (2019), No. 2, 473–489
##### Abstract

Turull has described the fields of values for characters of ${SL}_{n}\left(q\right)$ in terms of the parametrization of the characters of ${GL}_{n}\left(q\right)$. In this article, we extend these results to the case of ${SU}_{n}\left(q\right)$.

##### Keywords
finite special unitary groups, fields of character values, generalized Gelfand–Graev characters
##### Mathematical Subject Classification 2010
Primary: 20C15, 20C33
##### Milestones
Received: 8 March 2018
Revised: 13 September 2018
Accepted: 29 September 2018
Published: 30 July 2019
##### Authors
 A. A. Schaeffer Fry Department of Mathematical and Computer Sciences Metropolitan State University of Denver Denver, CO United States C. Ryan Vinroot Department of Mathematics College of William and Mary Williamsburg, VA United States