On the character degrees of Sylow p-subgroups of Chevalley groups G(pf) of type E
نویسندگان
چکیده
منابع مشابه
AFFINE SUBGROUPS OF THE CLASSICAL GROUPS AND THEIR CHARACTER DEGREES
In this paper we describe how the degrees of the irreducible characters of the affine subgroups of the classical groups under consideration can be found inductively. In [4] Gow obtained certain character degrees for all of the affine subgroups of the classical groups. We apply the method of Fischer to the above groups and, in addition to the character degrees given in [4], we obtain some ne...
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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...
متن کاملaffine subgroups of the classical groups and their character degrees
in this paper we describe how the degrees of the irreducible characters of the affine subgroups of the classical groups under consideration can be found inductively. in [4] gow obtained certain character degrees for all of the affine subgroups of the classical groups. we apply the method of fischer to the above groups and, in addition to the character degrees given in [4], we obtain some new ch...
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ژورنال
عنوان ژورنال: Forum Mathematicum
سال: 2015
ISSN: 0933-7741,1435-5337
DOI: 10.1515/forum-2011-0055