On the number of subgroups of given index in \(SL(Z)\)

DOI10.1007/BF01226441zbMath0401.20039OpenAlexW2052371489MaRDI QIDQ1255097

Wilfried Imrich

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1007/bf01226441

zbMATH Keywords

Free SubgroupsNumber of Subgroups of Given Index of Sl(2,Z)

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) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Discrete subgroups of Lie groups (22E40) Structure of modular groups and generalizations; arithmetic groups (11F06) Free nonabelian groups (20E05)

Related Items

Subgroups of Finite Index in a Free Product With Amalgamated Subgroup, Free subgroups of free products and combinatorial hypermaps, Some Divisibility Properties of the Subgroup Counting Function for Free Products, On the number of subgroups of given index in the modular group, Counting free subgroups of finite index

Cites Work

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• Über einen Satz von Dey und die Modulgruppe
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• Asymptotic Formulas Related to Free Products of Cyclic Groups
• The number of subgroups of given index in the modular group
• Schreier systems in free products
• A Relationship Between two Sequences
• Subgroups of Finite Index in Free Groups