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math.CO2021
Additive bases, coset covers, and non-vanishing linear maps
János Nagy, Péter Pál Pach, István Tomon
Recently, the first two authors proved the Alon-Jaeger-Tarsi conjecture on non-vanishing linear maps, for large primes. We extend their ideas to address several other related conje…
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 of size and a…