3 papers
math.GR2025
Non-orientable regular hypermaps of arbitrary hyperbolic type
Gareth A. Jones, Martin Mačaj, Jozef Širáň
One of the consequences of residual finiteness of triangle groups is that for any given hyperbolic triple there exist infinitely many regular hypermaps of type $(\ell,…
math.NT2023
Regular dessins with primitive automorphism groups
Gareth A. Jones, Martin Mačaj
We classify the dessins for which the automorphism group acts primitively and faithfully on the points over one of the three critical values (without loss of gener…
math.GR2023
Regular maps with primitive automorphism groups
Gareth A. Jones, Martin Mačaj
We classify the regular maps which have automorphism groups acting faithfully and primitively on their vertices. As a permutation group must be of almost simpl…