The invariant fields of the Sylow groups of classical groups in the natural characteristic

Ferreira, Jorge N. M.; Fleischmann, Peter

http://hdl.handle.net/10400.13/5032

Utilize este identificador para referenciar este registo.

Nome:	Descrição:	Tamanho:	Formato:
The Invariant Fields of the Sylow Groups of Classical Groups in the Natural Characteristic.pdf		883.43 KB	Adobe PDF	Ver/Abrir

Contacte-nos

Autores

Ferreira, Jorge N. M.

Fleischmann, Peter

Resumo(s)

Let X be any finite classical group defined over a finite field of characteristic p > 0. In this article, we determine the fields of rational invariants for the Sylow p-subgroups of X, acting on the natural module. In particular, we prove that these fields are generated by orbit products of variables and certain invariant polynomials which are images under Steenrod operations, applied to the respective invariant linear forms defining X.

Palavras-chave

Finite classical groups Invariant fields Modular invariant theory Sylow groups . Faculdade de Ciências Exatas e da Engenharia

URI

http://hdl.handle.net/10400.13/5032

Citação

Jorge N. M. Ferreira & Peter Fleischmann (2016) The Invariant Fields of the Sylow Groups of Classical Groups in the Natural Characteristic, Communications in Algebra, 44:3, 977-1010, DOI: 10.1080/00927872.2014.999922

Projetos de investigação

MODULAR INVARIANT THEORY OF FINITE UNITARY GROUPS

Projeto de investigaçãoVer mais

Editora

Taylor and Francis Group

DOI

10.1080/00927872.2014.999922

Coleções

Artigos em revistas internacionais

Licença CC

cclicense-by-nc-nd

Métricas Alternativas

Ver registo completo