Fusion systems realizing certain Todd modules - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Group Theory Année : 2022

Fusion systems realizing certain Todd modules

Bob Oliver
  • Fonction : Auteur
  • PersonId : 852620

Résumé

We study a certain family of simple fusion systems over finite $3$-groups, ones that involve Todd modules of the Mathieu groups $2M_{12}$, $M_{11}$, and $A_6=O^2(M_{10})$ over $\mathbb{F}_3$, and show that they are all isomorphic to the $3$-fusion systems of almost simple groups. As one consequence, we give new $3$-local characterizations of Conway's sporadic simple groups.

Dates et versions

hal-03840891 , version 1 (06-11-2022)

Identifiants

Citer

Bob Oliver. Fusion systems realizing certain Todd modules. Journal of Group Theory, In press. ⟨hal-03840891⟩
47 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More