Dade's Invariant Conjecture for General Linear and Unitary Groups in Non-defining Characteristics

Jianbei An


This paper is part of a program to study the conjecture of
E. C. Dade on counting characters in blocks for several finite
groups. The invariant conjecture of Dade is proved for general
linear and unitary groups when the characteristic of the
modular representation is distinct from the defining
characteristic of the groups.

General linear and unitary groups, blocks, Dade's conjecture, radical chains.

Math Review Classification
Primary 20C20 ; Secondary 20G40

Last Updated
8 September, 1999

34 pages

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