EXPLICIT FREE GROUPS IN DIVISION RINGS

Autor(es)

Goncalves, J. Z. ^[1] ; Passman, D. S. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Dept Math, BR-05508090 Sao Paulo - Brazil

^[2] Univ Wisconsin, Dept Math, Madison, WI 53706 - USA

• Tipo de documento: Artigo Científico
• Fonte: Proceedings of the American Mathematical Society; v. 143, n. 2, p. 459-468, FEB 2015.
• Citações Web of Science: 6

Resumo

Let D be a division ring of characteristic not equal 2 and suppose that the multiplicative group D-center dot = D\textbackslash{}[0] has a subgroup G isomorphic to the Heisenberg group. Then we use the generators of G to construct an explicit noncyclic free subgroup of D-center dot. The main difficulty occurs here when D has characteristic 0 and the commutators in G are algebraic over Q. (AU)

• Processo FAPESP: 09/52665-0 - Grupos, anéis e álgebras: interações e aplicações
• Beneficiário: Francisco Cesar Polcino Milies
• Modalidade de apoio: Auxílio à Pesquisa - Temático