Crossed modules with action
DOI:
https://doi.org/10.3842/umzh.v74i4.7371Keywords:
Crossed module, Groups with action, Category of groupsAbstract
UDC 512.5
Following the idea of a group with action, in a higher dimension, we consider crossed modules with a given crossed-module action upon itself. A category of these objects XMod∗ is given by replacing the set of morphisms in the category Gr∗ of groups with action by the set of a modified form of φ-crossed homomorphisms. Moreover, the connections of XMod∗ with some other known categories, such as Gr∗ and XMod, are given by describing some related functors.
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