On the non-balanced property of the category of crossed modules in groups

Simona Paoli

doi:10.1016/j.jpaa.2004.08.010

On the non-balanced property of the category of crossed modules in groups

Simona Paoli^*

^*Corresponding author for this work

Mathematical Science

SUNY Buffalo

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

An algebraic category C is called balanced if the cotriple cohomology of any object of C vanishes in positive dimensions on injective coefficient modules. Important examples of balanced and of non-balanced categories occur in the literature. In this paper we prove that the category of crossed modules in groups is non-balanced.

Original language	English
Pages (from-to)	19-22
Number of pages	4
Journal	Journal of Pure and Applied Algebra
Volume	197
Issue number	1-3
DOIs	https://doi.org/10.1016/j.jpaa.2004.08.010
Publication status	Published - 1 May 2005

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abstract = "An algebraic category C is called balanced if the cotriple cohomology of any object of C vanishes in positive dimensions on injective coefficient modules. Important examples of balanced and of non-balanced categories occur in the literature. In this paper we prove that the category of crossed modules in groups is non-balanced.",

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On the non-balanced property of the category of crossed modules in groups

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