Categorification and group extensions
type: Item
instance of: scholarly article
title: Categorification and group extensions
zbMATH Open document ID: 1016.18003
DOI: 10.1023/A:1013305010451
author: Lucian M. Ionescu
published in: Applied Categorical Structures
publication date: 2002-05-30T00:00:00Z
review text: In recent times it has become evident that in many contexts where we are tempted to use sets or groups, it is actually more natural to use a richer sort of structure, namely a kind of `higher-dimensional' set or group. The categorification can be viewed as a bridge allowing to transport constructions from the category of sets into categorical terms. This paper is an example of it. More concretely, the author applies a categorification of group extensions to nonabelian group cohomology. He gives an interpretation of the classical Schreier theory in categorical terms.
Mathematics Subject Classification ID: 18D10
Mathematics Subject Classification ID: 18B40
Mathematics Subject Classification ID: 18G50
Mathematics Subject Classification ID: 20E22
Mathematics Subject Classification ID: 20J05
zbMATH DE Number: 1747764
zbMATH Keywords: monoidal categories
zbMATH Keywords: categorification
zbMATH Keywords: group cohomology
zbMATH Keywords: extension of groups
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1747764