3 papers
math.CO2024
Maximal cliques in the graph of -ary simplex codes of dimension two
Mariusz Kwiatkowski, Andrzej Matraś, Mark Pankov +1
We consider the induced subgraph of the corresponding Grassmann graph formed by -ary simplex codes of dimension , . This graph contains precisely two types of maximal…
math.CO2023
Tops of graphs of non-degenerate linear codes
Edyta Bartnicka, Andrzej Matraś
Let be the Grassmann graph whose vertex set is formed by all -dimensional subspaces of an -dimensional vector space over the finite field $…
math.GR2023
Neumann property in the extended modular group and maximal nonparabolic subgroups of the modular group
Andrzej Matraś, Artur Siemaszko
It is know that any Neumann subgroup of the modular group is maximal non-parabolic. The question arises as to whether these are the only maximal non-parabolic subgroups. The wild c…