Liftings of crossed modules in the category of groups with operations

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Date

2020

Journal Title

Journal ISSN

Volume Title

Publisher

Boletim da Sociedade Paranaense de Matematica

Access Rights

Attribution-NonCommercial-NoDerivs 3.0 United States
info:eu-repo/semantics/openAccess

Abstract

In this paper we define the notion of lifting of a crossed module via the morphism in groups with operations and give some properties of this type of liftings. Further we prove that the lifting crossed modules of a certain crossed module are categorically equivalent to the internal groupoid actions on groups with operations, where the internal groupoid corresponds to the crossed module.

Description

Şahan, Tuncar ( Aksaray, Yazar )

Keywords

Covering Groupoid, Group with Operations, Internal Groupoid, Lifting Crossed Module

Journal or Series

Boletim da Sociedade Paranaense de Matematica

WoS Q Value

N/A

Scopus Q Value

Q2

Volume

38

Issue

7

Citation