Partial Groups, Simplicial K(G, 1)’s and Kan Complexes

Jekel, Solomon (2023) Partial Groups, Simplicial K(G, 1)’s and Kan Complexes. Advances in Pure Mathematics, 13 (11). pp. 725-731. ISSN 2160-0368

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Abstract

In our paper Simplicial K(G, 1)’s we constructed a sub-complex of the nerve of a group G determined by a partial group structure, and we proved, under a generalized associativity condition called regularity, that the sub-complex realizes as a K(G, 1). This type of sub-complex appears naturally in several topological and algebraic contexts. In this note we prove that regularity of a partial group implies that the Kan extension condition is satisfied on its nerve in dimensions greater than one, and in dimension one a weaker version of the extension condition holds.

Item Type: Article
Subjects: Journal Eprints > Medical Science
Depositing User: Managing Editor
Date Deposited: 08 Nov 2023 05:24
Last Modified: 08 Nov 2023 05:24
URI: http://repository.journal4submission.com/id/eprint/3151

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