Reduction theorems for characteristic functors on finite p-groups and applications to p-nilpotence criteria

Paul Lescot (1)

1 LMRS - Laboratoire de Mathématiques Raphaël Salem

We formalize various properties of characteristic functors on $p$-groups, and discuss relationships between them. Applications to the Thompson subgroup and certain of its analogues are then given.

Domaines: Théorie des groupes [math.GR]

Paul Lescot. Reduction theorems for characteristic functors on finite p-groups and applications to p-nilpotence criteria. Osaka Journal of Mathematics, 2008, 45 45 (4), pp.1043-1056. ⟨hal-00430937⟩