Algebra
Volume 2013 (2013), Article ID 306978, 7 pages
http://dx.doi.org/10.1155/2013/306978
Research Article

Some Results on Strict Graded Categorical Groups

1Department of Mathematics, Hanoi National University of Education, Hanoi 123105, Vietnam
2Department of Mathematics and Applications, Saigon University, Ho Chi Minh City 700900, Vietnam

Received 21 March 2013; Accepted 15 July 2013

Academic Editor: Adolfo Ballester-Bolinches

Copyright © 2013 Nguyen Tien Quang and Che Thi Kim Phung. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We present some applications of strict graded categorical groups to the construction of the obstruction of an equivariant kernel and to the classification of equivariant group extensions which are central ones. The composition of a graded categorical group and an equivariant group homomorphism is also determined.