3 papers
math.CO2026
On a group ring identity related to the Alon-Jaeger-Tarsi conjecture
János Nagy, Péter Pál Pach
In this note we formulate a conjecture about two group ring identities and prove that it would imply the Alon-Jaeger-Tarsi conjecture.
math.CO2024
Additive Combinatorics Using Equivariant Cohomology
László M. Fehér, János Nagy
We introduce a geometric method to study additive combinatorial problems. Using equivariant cohomology we reprove the Dias da Silva-Hamidoune theorem. We improve a result of Sun on…
math.CO2024
A sumset version of a conjecture of Pilz
János Nagy, Péter Pál Pach
Pilz's conjecture states that for any finite set of positive integers and positive integer in the union of the sets $\{a_1,2a_1,\dots,na_1\},\dots, \{…