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Dade's Conjecture for Chevalley Groups G2(q) in Non-Defining Characteristics

Published online by Cambridge University Press:  20 November 2018

Jianbei An  and
Yun Gao
Jianbei An
Affiliation:
Department of Mathematics University of Auckland Private Bag 92019 Auckland, New Zealand, e-mail: an@math.auckland.ac.nz
Yun Gao
Affiliation:
Department of Mathematics University of Auckland Private Bag 92019 Auckland, New Zealand, e-mail: an@math.auckland.ac.nz
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Abstract

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This paper is part of a program to study the conjecture of E. C. Dade on counting characters in blocks for several finite groups of Lie type. The local structures of certain radical chains of Chevalley groups of type G2 are given and the ordinary conjecture is confirmed for the groups when the characteristic of the modular representation is distinct from the defining characteristic of the groups.

Keywords

20C2020G40
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 48 , Issue 4 , 01 August 1996 , pp. 673 - 691
Copyright
Copyright © Canadian Mathematical Society 1996

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