Universal central extensions of braided crossed modules of groups
Journal of Pure and Applied Algebra(2024)
Abstract
In this paper, we give a canonical braiding on the universal central extension of a crossed module with a given braiding in the category of crossed modules. We also construct the universal central extension of a braided crossed module in the category of braided crossed modules, showing that when one of these constructions exists, both of them exist and coincide.
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Key words
Groups,Crossed module of groups,Braided,Universal central extension
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