Tag Archives: Baranyai’s theorem

A family of non-synchronizing 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

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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

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