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.
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory