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Galois geometry, finite projective and affine spaces, polar spaces, partial geometries, generalized polygons, near polygons, and other finite incidence geometries.

10 votes

What is the smallest cardinality of a self-linked set in a finite cyclic group?

The difference cover problem has been better studied in the context of $\mathbf{Z}$. Redei, Renyi, and others in the 40s asked for the size of the smallest set $A$ such that $A-A$ covers $\{1,2,\dots, …
Sean Eberhard's user avatar
2 votes
Accepted

Kantor's Singer cycle theorem

Ah, point I was overlooking is that in this case, $|\Delta|$ must be prime: this comes out of the application of Burnside-Schur. To spell out the rest of the proof (no doubt one way of many), we know …
Sean Eberhard's user avatar