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arXiv · 1808.05012

Derived crossed modules

Tunçar Şahan
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Abstract

In this study, we interpret the notion of homotopy of morphisms in the category of crossed modules in a category $\mathsf{C}$ of groups with operations using the categorical equivalence between crossed modules and internal categories in $\mathsf{C}$. Further, we characterize the derivations of crossed modules in a category $\mathsf{C}$ of groups with operations and obtain new crossed modules using regular derivations of old one.

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Tunçar Şahan. 2018-08-15. Derived crossed modules. https://doi.org/10.11568/kjm.2018.26.3.439

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