Dade's invariant conjecture for the Chevalley groups of type G2 in the defining characteristic

Shih Chang Huang

doi:10.1016/j.jalgebra.2004.11.023

Dade's invariant conjecture for the Chevalley groups of type G₂ in the defining characteristic

Shih Chang Huang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

This paper is part of a program to study the conjecture of E.C. Dade on counting characters in blocks for several finite groups. In this paper, we verify Dade's invariant conjecture for the Chevalley groups G₂(p^a) in the defining characteristic when p ≠ 2 or 3. This implies Dade's final conjecture when p ≠ 2 or 3.

Original language	English
Pages (from-to)	110-121
Number of pages	12
Journal	Journal of Algebra
Volume	292
Issue number	1 SPEC. ISS.
DOIs	https://doi.org/10.1016/j.jalgebra.2004.11.023
Publication status	Published - 2005 Oct 1

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jalgebra.2004.11.023

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abstract = "This paper is part of a program to study the conjecture of E.C. Dade on counting characters in blocks for several finite groups. In this paper, we verify Dade's invariant conjecture for the Chevalley groups G2(pa) in the defining characteristic when p ≠ 2 or 3. This implies Dade's final conjecture when p ≠ 2 or 3.",

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Dade's invariant conjecture for the Chevalley groups of type G₂ in the defining characteristic

Abstract

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