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Conjugacy classes in Sylow p-subgroups of GL(n,q), II*

Published online by Cambridge University Press:  14 November 2011

A. Vera-López
Affiliation:
Departamento de Matemáticas, Universidad del País Vasco, Apartado 644, Bilbao, Spain
J. M. Arregi
Affiliation:
Departamento de Matemáticas, Universidad del País Vasco, Apartado 644, Bilbao, Spain

Synopsis

In this paper, we find the canonical matrices of the conjugacy classes of the Sylow p-subgroup of GL(n, pt) consisting of all upper unitriangular matrices, whose cardinality is one of the two maximal possible values, that is, pt(n−1)(n−2)/2 and ptn(n−3)/2, as well as their number.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1991

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