A NOTE ON FREE GROUPS IN THE RING OF FRACTIONS OF SKEW POLYNOMIAL RINGS
Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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Data(s) |
20/10/2012
20/10/2012
2009
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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 |
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 |