Work

Components and realizability of fusion systems

Year: 2026

Type: article

Abstract: For it is known that a saturated ‐fusion system is realizable if and only if each of its components is realizable by a finite simple group. For primes this is false. Building on work of Broto, Møller, Oliver and Ruiz, we show, however, that a fusion system is realizable if and only if for each of its components there exists a realizable subnormal subsystem of with .

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70318

Authors: Ellen Henke, Justin Lynd

Institutions: Technische Universität Dresden, University of Louisiana at Lafayette

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Simons Foundation, Deutsche Forschungsgemeinschaft, Technische Universität Dresden, Mathematisches Forschungsinstitut Oberwolfach

Awards: G3582622072, Fusionssysteme und Lokalitäten