A NOTE ON FREE GROUPS IN THE RING OF FRACTIONS OF SKEW POLYNOMIAL RINGS


Autoria(s): GONCALVES, J. Z.; TENGAN, E.
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2009

Resumo

Let L be a function field over the rationals and let D denote the skew field of fractions of L[t; sigma], the skew polynomial ring in t, over L, with automorphism sigma. We prove that the multiplicative group D(x) of D contains a free noncyclic subgroup.

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

CNPq, Brazil[303.756/82-5]

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

FAPESP, Brazil[2004/15.319-3]

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

FAPESP, Brazil[06/59613-8]

Identificador

COMMUNICATIONS IN ALGEBRA, v.37, n.7, p.2477-2484, 2009

0092-7872

http://producao.usp.br/handle/BDPI/30606

10.1080/00927870802258646

http://dx.doi.org/10.1080/00927870802258646

Idioma(s)

eng

Publicador

TAYLOR & FRANCIS INC

Relação

Communications in Algebra

Direitos

restrictedAccess

Copyright TAYLOR & FRANCIS INC

Palavras-Chave #Free groups #Skew fields #FREE SUBGROUPS #MULTIPLICATIVE GROUP #DIVISION RINGS #FIELDS #ALGEBRAS #Mathematics
Tipo

article

original article

publishedVersion