Translator Disclaimer
July 2020 Green functions and Glauberman degree-divisibility
Meinolf Geck
Author Affiliations +
Ann. of Math. (2) 192(1): 229-249 (July 2020). DOI: 10.4007/annals.2020.192.1.4

Abstract

The Glauberman correspondence is a fundamental bijection in the character theory of finite groups. In 1994, Hartley and Turull established a degree-divisibility property for characters related by that correspondence, subject to a congruence condition which should hold for the Green functions of finite groups of Lie type, as defined by Deligne and Lusztig. Here, we present a general argument for completing the proof of that congruence condition. Consequently, the degree-divisibility property holds in complete generality.

Citation

Download Citation

Meinolf Geck. "Green functions and Glauberman degree-divisibility." Ann. of Math. (2) 192 (1) 229 - 249, July 2020. https://doi.org/10.4007/annals.2020.192.1.4

Information

Published: July 2020
First available in Project Euclid: 21 December 2021

Digital Object Identifier: 10.4007/annals.2020.192.1.4

Subjects:
Primary: 20C33
Secondary: 20C15 , 20G40

Keywords: character sheaves , finite groups of Lie type , Glauberman correspondence , Green functions

Rights: Copyright © 2020 Department of Mathematics, Princeton University

JOURNAL ARTICLE
21 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.192 • No. 1 • July 2020
Back to Top