Title of article :
CROSSED PRODUCT OF GROUPS. APPLICATIONS
Author/Authors :
Agore, A. L. University of Bucharest - Faculty of Mathematics and Computer Science, Romania , Militaru, G. University of Bucharest - Faculty of Mathematics and Computer Science, Romania
Abstract :
We survey the extensions of a group by a group using crossed products instead of exact sequences of groups. The approach has various advantages, one of them being that the crossed product is a universal object. Several new applications are given, a general Schreier type theorem is proved and a few open problems are posed.
Keywords :
the extension problem , crossed products
Journal title :
The Arabian Journal for Science and Engineering
Journal title :
The Arabian Journal for Science and Engineering