Vol. 53, No. 2, 1974

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ISSN: 0030-8730
Irreducible subgroups of orthogonal groups generated by groups of root type 1

Betty Salzberg Stark

Vol. 53 (1974), No. 2, 611–625
Abstract

In this paper it is shown that the only irreducible subgroups of orthogonal groups over finite fields of odd characteristic generated by groups of root type 1 are (1) unitary groups, (2) groups of type G2, or (3) the commutator subgroups of the orthogonal groups in question. This is a generalization of a previous result by the author.

Mathematical Subject Classification 2000
Primary: 20G40
Milestones
Received: 24 April 1973
Published: 1 August 1974
Authors
Betty Salzberg Stark