Classification of Subgroups of Symplectic Groups Over Finite Fields Containing a Transvection
نویسندگان
چکیده
منابع مشابه
Lifting subgroups of symplectic groups over
For a positive integer g, let Sp2g(R) denote the group of 2g× 2g symplectic matrices over a ring R. Assume g ≥ 2. For a prime number , we give a self-contained proof that any closed subgroup of Sp2g(Z ) which surjects onto Sp2g(Z/ Z) must in fact equal all of Sp2g(Z ). The result and the method of proof are both motivated by group-theoretic considerations that arise in the study of Galois repre...
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ژورنال
عنوان ژورنال: Demonstratio Mathematica
سال: 2016
ISSN: 2391-4661,0420-1213
DOI: 10.1515/dema-2016-0012