
TL;DR
This paper extends Alperin's Fusion Theorem to the context of localities, providing a new theoretical framework for understanding fusion systems in algebra.
Contribution
It introduces an Alperin's Fusion Theorem specifically adapted for localities, advancing the theoretical understanding of fusion systems.
Findings
Establishes a fusion theorem for localities
Provides new insights into fusion system structure
Lays groundwork for further algebraic research
Abstract
In these notes we give an Alperin's Fusion Theorem for localities.
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