20.500.12556/RUP-22083 Regular maps with primitive automorphism groups Regularni zemljevidi s primitivnimi grupami avtomorfizmov We classify the regular maps ℳ which have automorphism groups G acting faithfully and primitively on their vertices. As a permutation group G must be of almost simple or affine type, with dihedral point stabilisers. We show that all such almost simple groups, namely all but a few groups PSL2(q), PGL2(q) and Sz(q), arise from regular maps, which are always non-orientable. In the affine case, the maps ℳ occur in orientable and non-orientable Petrie dual pairs. We give the number of maps associated with each group, together with their genus and extended type. Some of this builds on earlier work of the first author on generalised Paley maps, and on recent work of Jajcay, Li, Širáň and Wang on maps with quasiprimitive automorphism groups. regular map automorphism group primitive almost simple affine group regularni zemljevid grupa avtomorfizmov primitiven skoraj enostaven afina grupa true false true Založba Univerze na Primorskem Angleški jezik Slovenski jezik Članek v reviji 2025-11-04 09:43:32 2025-11-04 09:43:33 2025-12-21 22:51:32 0000-00-00 00:00:00 2025 0 0 22 str. no. 3, [article no.] P3.09 Vol. 8 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2025-10-13 51 2590-9770 10.26493/2590-9770.1602.68f ADAM_Jones,Macaj_2025.pdf ADAM_Jones,Macaj_2025.pdf 1 4248E5C26178CE57EDFC5547974D294A b8bb4ed54e8f6c31c3b0eaa3a2606284fcf5bfbd8b6212b3f1da6bd94eb3622f 15f7530f-b95b-11f0-8f0b-005056ac49c0 https://repozitorij.upr.si/Dokument.php?lang=slv&id=32028 Založba Univerze na Primorskem 0 0 0