Constructing Maximal Subgroups of Classical Groups
نویسندگان
چکیده
منابع مشابه
Constructing maximal subgroups of classical groups
In this paper we show how to construct the maximal subgroups of the finite classical groups of linear, symplectic or unitary type in low-degree
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In 1] M. Aschbacher described the structure of the possible maximal subgroups of a classical group G with natural module M. Each such subgroup is either a member of a canonical class of subgroups, or it is the normalizer of a quasi-simple, absolutely irreducible subgroup H of G. In the latter case suppose that H is a classical group whose deening characteristic is coprime to that of G. The aim ...
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Suppose $G$ is a split connected reductive orthogonal or symplectic group over an infinite field $F,$ $P=MN$ is a maximal parabolic subgroup of $G,$ $frak{n}$ is the Lie algebra of the unipotent radical $N.$ Under the adjoint action of its stabilizer in $M,$ every maximal prehomogeneous subspaces of $frak{n}$ is determined.
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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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ژورنال
عنوان ژورنال: LMS Journal of Computation and Mathematics
سال: 2005
ISSN: 1461-1570
DOI: 10.1112/s1461157000000899