| Full text | |
| Author(s): |
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 |