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2 votes

Reference on the Veblen-Young characterization of projective spaces

Here are some modern treatments: Projective Geometries: From Foundations to Applications, Albrecht Beutelspacher (1998) - see chapter 3 for the Veblen-Young characterisation. Points and Lines, Erne …
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Enumerating certain types of permutation polynomials

Given a prime power $q$, I would like to enumerate (preferably up to isomorphism*) all the permutation polynomials $f(x)$ on $K = GF(q^3)$ satisfying the following conditions: $f(ax) = af(x)$ for al …
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Flag primitivity of the correlation group of classical projective planes.

We know that the full automorphism group of the $\pi_q = PG(2,q)$ acts imprimitively on the flags (all flags through a fixed point form a block). But, things change when we consider the action of full …