Advanced search
Start date
Betweenand

Involutions in group rings and in alternative loop rings

Grant number:12/20208-2
Support Opportunities:Research Grants - Visiting Researcher Grant - International
Start date: February 07, 2013
End date: March 06, 2013
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Principal Investigator:Francisco Cesar Polcino Milies
Grantee:Francisco Cesar Polcino Milies
Visiting researcher:Edgar George Goodaire
Visiting researcher institution: Memorial University of Newfoundland (MUN) , Canada
Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
City of the host institution:São Paulo

Abstract

Let * denote an involution of a group G. A homomorphism à from G to the set {±1} is called an orientation of G. Let RG denote the group ring of G over a commutative ring R. The map defined in RG by( agg )# = agÃ(g) g*Is called an oriented group involution of RG.We will study commutativity and anti-commutativity of the sets of symmetric and skew-symmetric elements under oriented involutions, and their generalizations, completing joint work done in the past. (AU)

Articles published in Agência FAPESP Newsletter about the research grant:
More itemsLess items
Articles published in other media outlets ( ):
More itemsLess items
VEICULO: TITULO (DATA)
VEICULO: TITULO (DATA)

Scientific publications
(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)
GOODAIRE, EDGAR G.; MILIES, CESAR POLCINO. Jordan nilpotency in group rings. Journal of Group Theory, v. 17, n. 4, p. 541-557, . (12/20208-2, 09/52665-0)