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CARTER SUBGROUPS IN CLASSICAL GROUPS

Published online by Cambridge University Press:  01 April 1997

L. DI MARTINO ,
M. C. TAMBURINI  and
A. E. ZALESSKII˘
L. DI MARTINO
Affiliation:
Dipartimento di Matematica “F. Enriques” Università degli Studi di Milano, Via C. Saldini 50, 20133 Milano, Italy
M. C. TAMBURINI
Affiliation:
Dipartimento de Matematica, Università Cattolica del Sacro Cuore, Via Trieste 17, 25121 Brescia, Italy
A. E. ZALESSKII˘
Affiliation:
Institute of Mathematics, Academy of Science of Belarus, Minsk 220072, Belarus
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Abstract

Let Fq be a finite field of characteristic r and order q=ra, V=Fnq the vector space of finite dimension n[ges ]1 over Fq, and Mat (n, q) the matrix algebra on V. We denote by Hn(q) (or Hn if q is clear from the context) one of the following classical groups: Sp (n, q) (with n even), the symplectic group on V; O(n, q) (with q odd), one of the full orthogonal groups on V in odd characteristic; U(n, q) (with q a square), the full unitary group on V.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 55 , Issue 2 , April 1997 , pp. 264 - 276
Copyright
The London Mathematical Society 1997

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