Free subgroups of free products and combinatorial hypermaps

DOI10.1016/j.disc.2019.01.014zbMath1407.05127arXiv1708.03842OpenAlexW2745341505MaRDI QIDQ1732777

Laura Ciobanu, Alexander Kolpakov

Publication date: 25 March 2019

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.03842

zbMATH Keywords

growth seriesfree groupsubgroup growthfree productribbon graphhypermap

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Enumeration in graph theory (05C30) Planar graphs; geometric and topological aspects of graph theory (05C10)

Related Items

Three-dimensional maps and subgroup growth, Telescopic groups and symmetries of combinatorial maps

Uses Software

• GAP
• DLMF
• OEIS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An exactly solvable self-convolutive recurrence
• The KP hierarchy, branched covers, and triangulations
• Counting conjugacy classes of subgroups in a finitely generated group.
• Enumeration of unrooted hypermaps of a given genus
• Enumeration of maps regardless of genus: geometric approach
• Statistics of isomorphism types in free products.
• The reciprocals of solutions of linear ordinary differential equations
• Une théorie combinatoire des séries formelles
• On the number of subgroups of given index in \(SL(Z)\)
• On the number of subgroups of given index in the modular group
• Toda equations for Hurwitz numbers
• Mixed superposition rules and the Riccati hierarchy
• NIST digital library of mathematical functions
• Subgroup growth.
• Classification and statistics of finite index subgroups in free products.
• Rooted maps on orientable surfaces, Riccati's equation and continued fractions
• Character theory of symmetric groups, subgroup growth of Fuchsian groups, and random walks.
• Enumeration of unrooted maps of a given genus
• Asymptotic enumeration of reversible maps regardless of genus
• Enumeration of unrooted hypermaps
• An Asymptotic Expansion for the Coefficients of Some Formal Power Series
• The number of subgroups of given index in the modular group
• Theory of Maps on Orientable Surfaces
• Free Subgroups of the Free Product of Cyclic Groups
• Subgroups of Finite Index in Free Groups