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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.)

INVOLUTIONS AND FREE PAIRS OF BASS CYCLIC UNITS IN INTEGRAL GROUP 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-05389970 Sao Paulo - Brazil
[2] Univ Wisconsin, Dept Math, Madison, WI 53706 - USA
Total Affiliations: 2
Document type: Journal article
Source: JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 10, n. 4, p. 711-725, AUG 2011.
Web of Science Citations: 1
Abstract

Let ZG be the integral group ring of the finite nonabelian group G over the ring of integers Z, and let {*} be an involution of ZG that extends one of G. If x and y are elements of G, we investigate when pairs of the form (u(k,m)(x{*}), u(k,m)(x{*})) or (u(k,m)(x), u(k,m)(y)), formed respectively by Bass cyclic and {*}-symmetric Bass cyclic units, generate a free noncyclic subgroup of the unit group of ZG. (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