Orthogonal groups of dyadic unimodular quadratic forms. II

Donald Gordon James

Vol. 52 (1974), No. 2, 425–441

DOI: 10.2140/pjm.1974.52.425

Abstract

Let 0(M) be the orthogonal group of a unimodular quadratic form over the integers in a dyadic local field. The subgroups of 0(M) normalized by the commutator subgroup are classified when the rank r(M) ≧ 9, or when r(M) ≧ 7 and the residue class field has at least 8 elements.

Mathematical Subject Classification 2000

Primary: 10C30

Secondary: 20G25

Milestones

Received: 7 August 1973

Published: 1 June 1974