Commit 2025-11-04 09:08 0a5a3f89
View on Github →feat(Mathlib/GroupTheory/Perm/MaximalSubgroups): maximal subgroups of the permutation group (#26457)
Equiv.Perm.isCoatom_stabilizer: whens : Set αis not empty, nor its complementary subset, and if the cardinality ofsis not half of that ofα, thenMulAction.stabilizer (Equiv.Perm α) sis a maximal subgroup of the symmetric groupEquiv.Perm α. This is the intransitive case of the O'Nan-Scott classification.
TODO
- Appplication to primitivity of the action of
Equiv.Perm αon finite combinations ofα. - Finish the classification