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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.)

ORIENTED GROUP INVOLUTIONS AND ANTICOMMUTATIVITY IN GROUP RINGS

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Author(s):
Goodaire, Edgar G. [1] ; Milies, Cesar Polcino [2]
Total Authors: 2
Affiliation:
[1] Mem Univ Newfoundland, St John, NF A1C 5S7 - Canada
[2] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo - Brazil
Total Affiliations: 2
Document type: Journal article
Source: COMMUNICATIONS IN ALGEBRA; v. 42, n. 4, p. 1657-1667, APR 3 2014.
Web of Science Citations: 0
Abstract

Let G be a group with involution {*} and sigma: G[+/- 1] a group homomorphism such that sigma(g{*})=sigma(g) for all gG. The map that sends alpha = Sigma alpha(g)g in a group ring RG to alpha(\#) = Sigma sigma(g)alpha(g)g{*} is an involution of RG called an oriented group involution. In this article, noting that the -symmetric elements of RG form a Jordan ring under the product o= + , we ask when this product is trivial; equivalently, when the -symmetric elements anticommute. (AU)

FAPESP's process: 11/50046-1 - Edgar George Goodaire | University of Newfoundland - Canada
Grantee:Francisco Cesar Polcino Milies
Support type: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 09/52665-0 - Groups, rings and algebras: interactions and applications
Grantee:Francisco Cesar Polcino Milies
Support type: Research Projects - Thematic Grants