The Levi decomposition of a split (B, N)-pair

N. B. Tinberg

Vol. 91 (1980), No. 1, 233–238

DOI: 10.2140/pjm.1980.91.233

Abstract

Let p be a prime number. If G is a finite group with a split (B,N)-pair of characteristic p then each parabolic subgroup G_J of G can be written as a semidirect product of certain subgroups C_J and L_J. Moreover G_J is the full normalizer of C_J in G.

Mathematical Subject Classification 2000

Primary: 20C20

Milestones

Received: 27 September 1978

Revised: 12 September 1979

Published: 1 November 1980