Co-prolongations of a group extension

The aim of this paper is to study co-prolongationsof central extensions. We construct the obstruction theory forco-prolongations and classify the equivalence classes of these by kernels of ahomomorphisms between 2-dimensional cohomology groups of groups.

Bibliographic Details
Main Authors:	Nguyen Thi Thu Thuy, Tuyen, Nguyen Tien Quang
Format:	Article
Language:	English
Published:	University of Isfahan 2014-03-01
Series:	International Journal of Group Theory
Subjects:	group extension cohomology of groups prolongation obstruction
Online Access:	http://www.theoryofgroups.ir/?_action=showPDF&article=3225&_ob=ba0c7b4dac6933f4d78aefd254fdaeeb&fileName=full_text.pdf.

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spelling	doaj-ee973525c3f54a8898924344335fdb682020-11-24T21:14:19ZengUniversity of IsfahanInternational Journal of Group Theory2251-76502251-76692014-03-01315764Co-prolongations of a group extensionNguyen Thi Thu ThuyTuyenNguyen Tien QuangThe aim of this paper is to study co-prolongationsof central extensions. We construct the obstruction theory forco-prolongations and classify the equivalence classes of these by kernels of ahomomorphisms between 2-dimensional cohomology groups of groups.http://www.theoryofgroups.ir/?_action=showPDF&article=3225&_ob=ba0c7b4dac6933f4d78aefd254fdaeeb&fileName=full_text.pdf.group extensioncohomology of groupsprolongationobstruction
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Nguyen Thi Thu Thuy Tuyen Nguyen Tien Quang
spellingShingle	Nguyen Thi Thu Thuy Tuyen Nguyen Tien Quang Co-prolongations of a group extension International Journal of Group Theory group extension cohomology of groups prolongation obstruction
author_facet	Nguyen Thi Thu Thuy Tuyen Nguyen Tien Quang
author_sort	Nguyen Thi Thu Thuy
title	Co-prolongations of a group extension
title_short	Co-prolongations of a group extension
title_full	Co-prolongations of a group extension
title_fullStr	Co-prolongations of a group extension
title_full_unstemmed	Co-prolongations of a group extension
title_sort	co-prolongations of a group extension
publisher	University of Isfahan
series	International Journal of Group Theory
issn	2251-7650 2251-7669
publishDate	2014-03-01
description	The aim of this paper is to study co-prolongationsof central extensions. We construct the obstruction theory forco-prolongations and classify the equivalence classes of these by kernels of ahomomorphisms between 2-dimensional cohomology groups of groups.
topic	group extension cohomology of groups prolongation obstruction
url	http://www.theoryofgroups.ir/?_action=showPDF&article=3225&_ob=ba0c7b4dac6933f4d78aefd254fdaeeb&fileName=full_text.pdf.
work_keys_str_mv	AT nguyenthithuthuy coprolongationsofagroupextension AT tuyen coprolongationsofagroupextension AT nguyentienquang coprolongationsofagroupextension
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Co-prolongations of a group extension

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