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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
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Orientador(es)
Resumo(s)
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 presenta tion 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.
Descrição
Palavras-chave
Invariant rings SAGBI bases Modular invariant theory Sylow subgroups Finite classical groups . Faculdade de Ciências Exatas e da Engenharia
Contexto Educativo
Citação
Ferreira, J. N., & Fleischmann, P. (2017). 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. Journal of Symbolic Computation, 79, 356-371.
Editora
Elsevier