Saturated fusion systems over 2-groups

Bob Oliver (1) , Joana Ventura (2)

1 LAGA - Laboratoire Analyse, Géométrie et Applications
2 IST - Instituto Superior Técnico, Universidade Técnica de Lisboa

We develop methods for listing, for a given 2-group S, all nonconstrained centerfree saturated fusion systems over S. These are the saturated fusion systems which could, potentially, include minimal examples of exotic fusion systems: fusion systems not arising from any finite group. To test our methods, we carry out this program over four concrete examples: two of order 128 and two of order 1024. Our long term goal is to make a wider, more systematic search for exotic fusion systems over 2-groups of small order.

Mots clés: groupes finis; groupes simples; 2-groupes; fusion

Domaines: Topologie algébrique [math.AT]

Bob Oliver, Joana Ventura. Saturated fusion systems over 2-groups. 2008. ⟨hal-00308740⟩