Mark Pankov

collaborators

3 papers

math.CO2026

Four relations on the set of point-hyperplane anti-flags

Mark Pankov, Antonio Pasini

There are precisely four arrangements of two point-hyperplane anti-flags. We consider the corresponding relations on the set of such anti-flags and show that each of them can be re…

math.CO2025

Symmetric $(2^{k} - 1, 2^{k - 1}, 2^{k - 2})$ -designs which are $(2^{k - 1} - 1)$ -pyramidal over abelian groups

Mark Pankov

A design is called $t$ -pyramidal when it has an automorphism group which fixes $t$ points and acts sharply transitively on the remaining points. We determine all symmetric $(2^k-1,…

math.CO2025

The full automorphism groups of the five symmetric $(15, 8, 4)$ -designs

Mark Pankov, Krzysztof Petelczyc, Mariusz Å»ynel

It is clear that the full automorphism group of the $(15, 8, 4)$ -design of points and hyperplane complements of $PG (3, 2)$ is $GL (4, 2)$ . Using methods of point-line geomet…

Four relations on the set of point-hyperplane anti-flags

Symmetric (2k−1,2k−1,2k−2)-designs which are (2k−1−1)-pyramidal over abelian groups

The full automorphism groups of the five symmetric (15,8,4)-designs

Symmetric $(2^{k} - 1, 2^{k - 1}, 2^{k - 2})$ -designs which are $(2^{k - 1} - 1)$ -pyramidal over abelian groups

The full automorphism groups of the five symmetric $(15, 8, 4)$ -designs