THE ALPERIN AND DADE CONJECTURES FOR REE GROUPS F-2(4)(Q(2)) IN NON-DEFINING CHARACTERISTICS

This paper is part of a program to study Alperin's weight conjecture a nd Dade's ordinary conjecture on counting characters in blocks for sev eral finite groups. The local structures of radical subgroups and cert ain radical 3-chains of a Ree group of type F-4 are given and the conj ectures and a conjecture of Olsson are confirmed for the group when th e characteristic of the modular representation is distinct from the de fining characteristic of the group. (C) 1998 Academic Press.