Gábor Somlai

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20132025

most citedThe Cayley isomorphism property for

Z_{p}^{3} \times Z_{q}

4 citations · 6 across the 7 of their papers we have counts for

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math.GR2025

Dihedral groups of square-free order are DCI-groups

István Kovács, Gábor Somlai

A finite group $G$ is a called a DCI-group if any two isomorphic Cayley digraphs of $G$ are also isomorphic via an automorphism of $G$ . If $G$ is a non-abelian generalised dihedral…

math.GR2022

On the diameter of Cayley graphs of classical groups with generating sets containing a transvection

Martino Garonzi, Zoltán Halasi, Gábor Somlai

A well-known conjecture of Babai states that if $G$ is any finite simple group and $X$ is a generating set for $G$ , then the diameter of the Cayley graph $C a y (G, X)$ is bounded by $…

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.GR2013

The Cayley isomorphism property for groups of order 8p

Gabor Somlai

For every prime $p > 3$ we prove that $Q \times Z_{p}$ and $Z_{2}^{3} \times Z_{p}$ are DCI- groups. This result completes the description of CI-groups of order $8…

Dihedral groups of square-free order are DCI-groups

On the diameter of Cayley graphs of classical groups with generating sets containing a transvection

The Cayley isomorphism property for Zp3​×Zq​

The Cayley isomorphism property for groups of order 8p

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