Counting conjugacy classes in Sylow p-subgroups of Chevalley groups

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CALCULATING CONJUGACY CLASSES IN SYLOW p-SUBGROUPS OF FINITE CHEVALLEY GROUPS

In [8, §8], the first author outlined an algorithm for calculating a parametrization of the conjugacy classes in a Sylow p-subgroup U(q) of a finite Chevalley group G(q), valid when q is a power of a good prime for G(q). In this paper we develop this algorithm and discuss an implementation in the computer algebra language GAP. Using the resulting computer program we are able to calculate the pa...

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ژورنال

عنوان ژورنال: Journal of Pure and Applied Algebra

سال: 2007

ISSN: 0022-4049

DOI: 10.1016/j.jpaa.2006.09.009