Counting free subgroups of finite index

DOI10.1007/BF01194843zbMath0821.20007MaRDI QIDQ1325227

Thomas W. Müller

Publication date: 28 September 1995

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

orders of finite subgroupsfinitely generated virtually free groupsnumber of free subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Asymptotic results on counting functions for algebraic and topological structures (11N45) Topological methods in group theory (57M07) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Groups acting on trees (20E08)

Related Items (6)

Classification and statistics of finite index subgroups in free products. ⋮ Decomposable functors and the exponential principle ⋮ Combinatorial classification of finitely generated virtually free groups ⋮ Statistics of isomorphism types in free products. ⋮ Parity patterns in one-relator groups ⋮ Enumerating representations in finite wreath products

Cites Work

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• A group-theoretical generalization of Pascal's triangle
• On the number of subgroups of given index in \(SL(Z)\)
• On torsion-free groups with infinitely many ends
• Combinatorial Aspects of Finitely Generated Virtually Free Groups
• An Asymptotic Expansion for the Coefficients of Some Formal Power Series
• Finite and infinite cyclic extensions of free groups
• Asymptotic Formulas Related to Free Products of Cyclic Groups
• A Relationship Between two Sequences
• Asymptotic Relations Between Enumerative Functions in Graph Theory

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