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Tag Archives: Baranyai’s theorem
A family of nonsynchronizing groups
As I explained recently, according to the O’Nan–Scott Theorem, a finite primitive permutation group either preserves a Cartesian structure, or is of affine, diagonal or almost simple type. In all these types except the last, the action of the group … Continue reading →
Posted in exposition, symmetric group

Tagged almost simple, Baranyai's theorem, ovoids, partitions, primitive, separating, spreads, synchronizing

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The synchronizing monster
Today, a long paper on synchronizing groups (108 pages), by João Araújo, Ben Steinberg, and me, appears on the arXiv. It has been a long time coming. To quote from a post of mine in 2010, I became involved in … Continue reading →