On suborbital graphs for the extended modular group \(\widehat\Gamma\).

DOI10.1007/s00373-012-1226-3zbMath1306.20053OpenAlexW1974725955MaRDI QIDQ2637729

Bahadır Özgür Güler, Serkan Kader

Publication date: 14 February 2014

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-012-1226-3

zbMATH Keywords

numbers of orbitssuborbital graphscongruence subgroupsextended modular groupimprimitive actions

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10)

Related Items (8)

On suborbital graphs for the group \(\varGamma^3\) ⋮ Some group actions and Fibonacci numbers ⋮ The action of \(\mathrm{SL}(2,{\mathbb {C}})\) on hyperbolic 3-space and orbital graphs ⋮ Suborbital graphs for the group \(\Gamma_{C}(N)\) ⋮ Relation between matrices and the suborbital graphs by the special number sequences ⋮ Chromatic numbers of suborbital graphs for the modular group and the extended modular group ⋮ Suborbital graphs for the Atkin--Lehner group ⋮ Unnamed Item

Cites Work

• Graphs and finite permutation groups
• ON SUBORBITAL GRAPHS FOR THE MODULAR GROUP
• An Arithmetic-Geometric Method in the Study of the Subgroups of the Modular Group
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