János Nagy

activity

20172026

most citedThe Alon-Jaeger-Tarsi conjecture via group ring identities

1 citations · 1 across the 5 of their papers we have counts for

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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

A sumset version of a conjecture of Pilz

János Nagy, Péter Pál Pach

Pilz's conjecture states that for any finite set $A = {a_{1}, a_{2}, \dots, a_{k}}$ of positive integers and positive integer $n$ in the union of the sets $\{a_1,2a_1,\dots,na_1\},\dots, \{…

math.CO2021★ 1 cited

The Alon-Jaeger-Tarsi conjecture via group ring identities

János Nagy, Péter Pál Pach

In this paper we resolve the Alon-Jaeger-Tarsi conjecture for sufficiently large primes. Namely, we show that for any finite field $F$ of size $61 < ∣ F ∣ \neq = 79$ and a…