Dávid R. Szabó

activity

20192026

collaborators

3 papers

math.AG2026

Toric decomposition in algebraic groups

Dávid R. Szabó

Over an arbitrary field $F$ , we construct $n + 1$ maximal tori $T_{1}, \dots, T_{n + 1}$ in $PGL_{n} (F)$ so that the product $T_{1} \dots T_{n + 1}$ is almost the…

math.CO2025

Settling the no- $(k + 1)$ -in-line problem when $k$ is not small

Benedek Kovács, Zoltán Lóránt Nagy, Dávid R. Szabó

What is the maximum number of points that can be selected from an $n \times n$ square lattice such that no $k + 1$ of them are in a line? This has been asked more than $100$ years ag…

math.DG2019

Special $p$ -groups acting on compact manifolds

Dávid R. Szabó

Riera proved at arXiv:1412.6964 that the diffeomorphism group of particular compact manifolds are not Jordan by exhibiting subgroups isomorphic to extra-special $p$ -groups of expon…

Toric decomposition in algebraic groups

Settling the no-(k+1)-in-line problem when k is not small

Special p-groups acting on compact manifolds

Settling the no- $(k + 1)$ -in-line problem when $k$ is not small

Special $p$ -groups acting on compact manifolds