REGULAR HYPERMAPS OVER PROJECTIVE LINEAR GROUPS

DOI10.1017/S1446788708000827zbMath1181.57003OpenAlexW2102130074MaRDI QIDQ5322911

Primož Potočnik, Marston D. E. Conder, Jozef Širáň

Publication date: 23 July 2009

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788708000827

zbMATH Keywords

triangle grouphypermap

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Relations of low-dimensional topology with graph theory (57M15)

Related Items (25)

Chiral polyhedra arising from almost simple groups with socle \(PSL(2,q)\) ⋮ Algebraic curves uniformized by congruence subgroups of triangle groups ⋮ Non-orientable regular maps of a given type over linear fractional groups ⋮ Projective linear groups as automorphism groups of chiral polytopes ⋮ C-groups of Suzuki type ⋮ Regular maps with almost Sylow-cyclic automorphism groups, and classification of regular maps with Euler characteristic \(-p^{2}\) ⋮ Enumeration of regular maps of given type on twisted linear fractional groups ⋮ Maniplexes with automorphism group \(\mathrm{PSL}(2,q)\) ⋮ On chiral polytopes having a group PSL(3,q)$\mathrm{PSL}(3,q)$ as automorphism group ⋮ Orientable and non-orientable regular maps with given exponent group ⋮ Self-dual, self-Petrie-dual and Möbius regular maps on linear fractional groups ⋮ Classification of regular maps of Euler characteristic \(-3p\) ⋮ On the number of abstract regular polytopes whose automorphism group is a Suzuki simple group \(Sz(q)\) ⋮ Polytopes of high rank for the alternating groups ⋮ Almost simple groups with socle PSL\((2,q)\) acting on abstract regular polytopes ⋮ Orientably-Regular Maps on Twisted Linear Fractional Groups ⋮ Regular Cayley maps for cyclic groups ⋮ C-groups of \(\mathrm{PSL}(2,q)\) and \(\mathrm{PGL}(2,q)\). ⋮ Polytopes of large rank for \(\mathrm{PSL}(4,\mathbb{F}_q)\) ⋮ Regular self-dual and self-Petrie-dual maps of arbitrary valency ⋮ Strong map-symmetry of SL(3,K) and PSL(3,K) for every finite field K ⋮ String C-group representations of almost simple groups: A survey ⋮ Regular and orientably-regular maps with quasiprimitive automorphism groups on vertices ⋮ Chiral Polytopes and Suzuki Simple Groups ⋮ Classification of minimal Frobenius hypermaps

Cites Work

• Unnamed Item
• Generators of finite projective linear groups. II
• Ree groups and Riemann surfaces
• Erzeugende endlicher projektiver linearer Gruppen. (Generators of finite projective linear groups)
• Groups related to compact Riemann surfaces
• Regular maps with automorphism groupPSL₂(q)
• Suzuki Groups and Surfaces
• Belyi Functions, Hypermaps and Galois Groups

This page was built for publication: REGULAR HYPERMAPS OVER PROJECTIVE LINEAR GROUPS