Co-prolongations of a group extension.

zbMATH Open1337.20058arXiv1309.3167MaRDI QIDQ2796901

Doan T. Tuyen, Nguyen Thi Thu Thuy, Nguyen T. Quang

Publication date: 30 March 2016

Published in: International Journal of Group Theory (Search for Journal in Brave)

Abstract: The aim of this paper is to study co-prolongations of central extensions. We construct the obstruction theory for co-prolongations and classify the equivalence classes of these by kernels of a homomorphisms between 2-dimensional cohomology groups of groups.

Full work available at URL: https://arxiv.org/abs/1309.3167

zbMATH Keywords

cohomology groupscentral extensionsobstructionsgroup extensionsprolongations

Mathematics Subject Classification ID

Cohomology of groups (20J06) Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (2)

Title not available (Why is that?) ⋮ Square extension of a groupoid.

Recommendations

• On cohomologies and extensions of cyclic groups. 👍 👎
• Group extensions and cohomology groups 👍 👎
• Group extensions and cohomology groups. II 👍 👎
• On exact group extensions. 👍 👎
• On prolongations of quasigroups 👍 👎
• COHOMOLOGY GROUPS OF RADICAL EXTENSIONS 👍 👎
• Title not available (Why is that?) 👍 👎
• Title not available (Why is that?) 👍 👎

This page was built for publication: Co-prolongations of a group extension.

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2796901)