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Small systems of generators of isotropic unitary groups over finite fields of characteristic not two

Authors
Journal
Journal of Algebra
0021-8693
Publisher
Elsevier
Publication Date
Volume
93
Issue
2
Identifiers
DOI: 10.1016/0021-8693(85)90163-2

Abstract

Abstract Some sets of generators of unitary groups on a nonsingular Hermitian space with hyperbolic rank at least one over a finite field of characteristic not 2 with an involution ∗ are studied. All unitary groups are shown to be generated by 3 elements and all symplectic groups are generated by 2 elements.

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