Advanced search
Start date
Betweenand
Related content
(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 INVOLUTIONS AND SKEW-SYMMETRIC ELEMENTS IN GROUP RINGS

Full text
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, BR-05314970 Sao Paulo - Brazil
Total Affiliations: 2
Document type: Journal article
Source: JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 12, n. 1 FEB 2013.
Web of Science Citations: 1
Abstract

Let G be a group with involution {*} and sigma : G -> [+/- 1] a group homomorphism. 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. An element alpha epsilon RG is symmetric if alpha(\#) = alpha and skew-symmetric if alpha(\#) = -alpha. The sets of symmetric and skew-symmetric elements have received a lot of attention in the special cases that {*} is the inverse map on G or sigma is identically 1, while the general case has been almost ignored. In this paper, we determine the conditions under which the set of elements that are skew-symmetric relative to a general oriented involution form a subring of RG. This is the sequel to another paper where the analogous problem for the symmetric elements was studied, with a small oversight that is corrected here. (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