The prolongation of central extensions

The prolongation of central extensions

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.

Bibliographic Details
Main Authors: Nguyen Tien Quang, Pham Thi Cuc, Che Thi Kim Phung
Format: Article
Language:English
Published: University of Isfahan 2012-06-01
Series:International Journal of Group Theory
Subjects:
Crossed product
group extension
group cohomology
obstruction
Online Access:http://www.theoryofgroups.ir/?_action=showPDF&article=740&_ob=3aee68490b43ff78d1ad06701ebbd4e0&fileName=full_text.pdf
Description
Summary: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.
ISSN:2251-7650
2251-7669

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