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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

EXPLICIT FREE GROUPS IN DIVISION RINGS

Author(s):
Goncalves, J. Z. [1] ; Passman, D. S. [2]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Dept Math, BR-05508090 Sao Paulo - Brazil
[2] Univ Wisconsin, Dept Math, Madison, WI 53706 - USA
Total Affiliations: 2
Document type: Journal article
Source: Proceedings of the American Mathematical Society; v. 143, n. 2, p. 459-468, FEB 2015.
Web of Science Citations: 6
Abstract

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)

FAPESP's process: 09/52665-0 - Groups, rings and algebras: interactions and applications
Grantee:Francisco Cesar Polcino Milies
Support type: Research Projects - Thematic Grants