The prolongation of central extensions

نویسندگان
Tien Quang, Nguyen ID 1
Phung, Che Thi Kim ID 2
Cuc, Pham Thi ID 3

1 136 Xuanthuy Street, Cau Giay district

2 Department of Mathematics and Applications, Saigon University

3 Natural Science Department, Hongduc University, Thanhhoa, Vietnam

doi
10.22108/ijgt.2012.740
چکیده

The aim of this paper is to study the $(\alpha‎, ‎\gamma)$-prolongation of central extensions‎. ‎We obtain the obstruction theory for $(\alpha‎, ‎\gamma)$-prolongations and classify $(\alpha‎, ‎\gamma)$-prolongations thanks to low-dimensional cohomology groups of groups‎.

کلیدواژه‌ها
Crossed product, group extension, group cohomology, obstruction