Vol. 91, No. 1, 1980

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

N. B. Tinberg

Vol. 91 (1980), No. 1, 233–238
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 GJ of G can be written as a semidirect product of certain subgroups CJ and LJ. Moreover GJ is the full normalizer of CJ in G.

Mathematical Subject Classification 2000
Primary: 20C20
Milestones
Received: 27 September 1978
Revised: 12 September 1979
Published: 1 November 1980
Authors
N. B. Tinberg