(Co)homology of crossed modules with coefficients in a π1- module

Simona Paoli*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

We define a cotriple (co)homology of crossed modules with coefficients in a π1-module. We prove its general properties, including the connection with the existing cotriple theories on crossed modules. We establish the relationship with the (co)homology of the classifying space of a crossed module and with the cohomology of groups with operators. An example and an application are given.

Original languageEnglish
Pages (from-to)261-296
Number of pages36
JournalHomology, Homotopy and Applications
Volume5
Issue number1
DOIs
Publication statusPublished - 2003

Keywords

  • Classifying space
  • Cotriple (co)homology
  • Crossed module

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