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

Showing 2019Show all

3 papers · 1 filter

math.CA2019

Fuglede's conjecture holds on $Z_{p}^{2} \times Z_{q}$

Gergely Kiss, Gábor Somlai

The study of Fuglede's conjecture on the direct product of elementary abelian groups was initiated by Iosevich et al. For the product of two elementary abelian groups the conjectur…

math.GR2019★ 4 cited

The Cayley isomorphism property for $Z_{p}^{3} \times Z_{q}$

Mikhail Muzychuk, Gábor Somlai

For every pair of distinct primes $p$ , $q$ we prove that $Z_{p}^{3} \times Z_{q}$ is a CI-group with respect to binary relational structures.

math.CA2019★ 2 cited

Spectral sets in $Z_{p^{2} q r}$ tile

Gábor Somlai

We prove the every spectral set in $Z_{p^{2} q r}$ tiles, where $p$ , $q$ and $r$ are primes. Combining this with a recent result of Malikiosis we obtain that Fuglede's conject…

Fuglede's conjecture holds on Zp2​×Zq​

The Cayley isomorphism property for Zp3​×Zq​

Spectral sets in Zp2qr​ tile

Fuglede's conjecture holds on $Z_{p}^{2} \times Z_{q}$

The Cayley isomorphism property for $Z_{p}^{3} \times Z_{q}$

Spectral sets in $Z_{p^{2} q r}$ tile