Regular maps with almost Sylow-cyclic automorphism groups, and classification of regular maps with Euler characteristic \(-p^{2}\)

DOI10.1016/j.jalgebra.2010.07.047zbMath1225.05123OpenAlexW2087985895MaRDI QIDQ619019

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

Publication date: 21 January 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.07.047

zbMATH Keywords

regular mapscellular decompositionSylow subgroupgraph embeddingscomplete classificationarc-transitive graphsalmost Sylow-cyclic group

Mathematics Subject Classification ID

Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (11)

Classifying edge-biregular maps of negative prime Euler characteristic ⋮ Recent progress in classification of regular maps on a given compact surface ⋮ Trinity symmetry and kaleidoscopic regular maps ⋮ \((2,m,n)\)-groups with Euler characteristic equal to \(-2^as^b\). ⋮ Bi-rotary maps of negative prime characteristic ⋮ Enumeration of regular maps of given type on twisted linear fractional groups ⋮ Classification of regular maps of Euler characteristic \(-3p\) ⋮ Orientably-Regular Maps on Twisted Linear Fractional Groups ⋮ Orientably-regular maps of Euler characteristic \(- 2p^2\) ⋮ Classification of regular maps of prime characteristic revisited: avoiding the Gorenstein-Walter theorem ⋮ Classification of cyclic braces, II

Uses Software

• Magma

Cites Work

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• On finite groups with semi-dihedral Sylow 2-subgroups
• On Finite Groups with Cyclic Sylow Subgroups for all Odd Primes
• REGULAR HYPERMAPS OVER PROJECTIVE LINEAR GROUPS
• Classification of regular maps of negative prime Euler characteristic
• Automorphisms of compact non-orientable Riemann surfaces
• Zur Erweiterungstheorie der endlichen Gruppen.

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