A Krull-Remak-Schmidt theorem for fusion systems - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Fundamenta Mathematicae Année : 2022

A Krull-Remak-Schmidt theorem for fusion systems

Bob Oliver
  • Fonction : Auteur
  • PersonId : 852620

Résumé

We prove that the factorization of a saturated fusion system over a discrete $p$-toral group as a product of indecomposable subsystems is unique up to normal automorphisms of the fusion system and permutations of the factors. In particular, if the fusion system has trivial center, or if its focal subgroup is the entire Sylow group, then this factorization is unique (up to the ordering of the factors). This result was motivated by questions about automorphism groups of products of fusion systems.

Dates et versions

hal-03840889 , version 1 (06-11-2022)

Identifiants

Citer

Bob Oliver. A Krull-Remak-Schmidt theorem for fusion systems. Fundamenta Mathematicae, 2022. ⟨hal-03840889⟩
50 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More