The symplectic group over a ring with one in its stable range

Bessie Hershberger Kirkwood and Bernard Robert McDonald

Vol. 92 (1981), No. 1, 111–125

DOI: 10.2140/pjm.1981.92.111

Abstract

In this paper we determine the transitivity properties, generators and commutator subgroups of the symplectic group and its congruence subgroups over a commutative ring having one in its stable range and 2 a unit.

Mathematical Subject Classification 2000

Primary: 20H25

Secondary: 10C30

Milestones

Received: 6 December 1979

Revised: 14 May 1980

Published: 1 January 1981