Some Divisibility Properties of the Subgroup Counting Function for Free Products

DOI10.2307/2153039zbMATH Open0779.20013OpenAlexW4247130891MaRDI QIDQ3987940

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Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2153039

zbMATH Keywords

free productnumber of subgroupscongruence propertiescyclic groups of prime order

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Sequences (mod (m)) (11B50)

Cites Work

• Unnamed Item
• Unnamed Item
• Über einen Satz von Dey und die Modulgruppe
• On the number of subgroups of given index in \(SL(Z)\)
• On the number of subgroups of given index in the modular group
• Subgroups of Finite Index in a Free Product With Amalgamated Subgroup
• The number of subgroups of given index in the modular group
• Schreier systems in free products
• Subgroups of Finite Index in Free Groups
• On Recursions Connected With Symmetric Groups I

Related Items (3)

Unnamed Item ⋮ Truncated versions of Dwork's lemma for exponentials of power series and \(p\)-divisibility of arithmetic functions ⋮ Arithmetic of subgroup counting in some free products

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