On asymptotic densities and generic properties in finitely generated groups

DOI10.1515/GCC.2010.008zbMath1231.20040MaRDI QIDQ3085989

Celine Carstensen-Opitz, Benjamin Fine, Gerhard Rosenberger

Publication date: 1 April 2011

Published in: Groups – Complexity – Cryptology (Search for Journal in Brave)

zbMATH Keywords

braid groupssubgroups of finite indexfinitely generated groupsrandom elementsvirtually free groupsasymptotic densitiesextended triangle groupsstrong generic free group property

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Asymptotic properties of groups (20F69) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Probabilistic methods in group theory (20P05)

Cites Work

• The subadditive ergodic theorem and generic stretching factors for free group automorphisms.
• Random subgroups and analysis of the length-based and quotient attacks
• Generic Subgroups of Group Amalgams
• The Classification of Non-Euclidean Plane Crystallographic Groups

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