کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4946017 1364079 2017 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The invariant rings of the Sylow groups of GU(3,q2), GU(4,q2), Sp(4,q) and O+(4,q) in the natural characteristic
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
The invariant rings of the Sylow groups of GU(3,q2), GU(4,q2), Sp(4,q) and O+(4,q) in the natural characteristic
چکیده انگلیسی
Let G be a Sylow p-subgroup of the unitary groups GU(3,q2), GU(4,q2), the symplectic group Sp(4,q) and, for q odd, the orthogonal group O+(4,q). In this paper we construct a presentation for the invariant ring of G acting on the natural module. In particular we prove that these rings are generated by orbit products of variables and certain invariant polynomials which are images under Steenrod operations, applied to the respective invariant form defining the corresponding classical group. We also show that these generators form a SAGBI basis and the invariant ring for G is a complete intersection.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Symbolic Computation - Volume 79, Part 2, March–April 2017, Pages 356-371
نویسندگان
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