Gábor Somlai

activity

20092026

most citedOn the discrete Fuglede and Pompeiu problems

22 citations · 54 across the 25 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.GR2026

Tilings of symmetric and alternating groups by conjugacy classes

Gábor Somlai, Binzhou Xia, Sanming Zhou

We study tilings of symmetric and alternating groups by conjugacy classes. For $S_{n}$ , the case where the conjugacy class consists of transpositions was first investigated by Rothau…

math.NT2026

Non-existence of sets with few special directions

Luca Ghidelli, Gergely Kiss, Gábor Somlai

Let $p$ be an odd prime and let $S \subseteq F_{p}^{2}$ have cardinality divisible by $p$ . We prove that, for all sufficiently large primes $p$ , no such set has exactly four spe…

math.CO2026

Fuglede's Conjecture on Cyclic Groups of Square-Free Order: The Case of Rapidly Growing Prime Factors

Gábor Somlai

The main result of the paper is that an inductive argument is established to prove the Fuglede's conjecture for an infinite sequence of square-free order cyclic groups. The tile-to…