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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

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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 Opportunities: Research Projects - Thematic Grants