An extension theory for partial groups

2021/05/07 by Carles Broto, Broto, Carles, Alex González +1 · 2 citations
Mathematics · #Algebraic Topology (math.AT) #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2105.03457

openalex publication_date 2021/05/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Partial groups are a natural generalization of discrete groups recently introduced by Chermak in connection with the theory of fusion systems. In this paper we develop an extension theory for partial groups based in the classical theory of fibre bundles of simplicial sets.

Citations

• Fusion systems and localities

Cited by

• Cohomology Theories of Partial Groups
• Partial Group Symmetry in Figures I: Semidirect Products and the Six Coins

Related

• An extension theory for partial groups and localities
• Cohomology Theories of Partial Groups
• The Direct Extension Theorem
• Structural Ramsey Theory and the Extension Property for Partial\n Automorphisms
• Limits and colimits, generators and relations of partial groups