Generic Subgroups of Group Amalgams

DOI10.1515/GCC.2009.51zbMath1180.20018MaRDI QIDQ3617416

Benjamin Fine, Alexei G. Myasnikov, Gerhard Rosenberger

Publication date: 23 March 2009

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

zbMATH Keywords

HNN extensionsfinitely generated subgroupsfree productsamalgamated productsfinitely generated free groupsgeneric free property

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Asymptotic properties of groups (20F69) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items

Random equations in free groups, Random equations in nilpotent groups., Exponentially generic subsets of groups, On asymptotic densities and generic properties in finitely generated groups

Cites Work

• The conjugacy search problem in public key cryptography: unnecessary and insufficient
• Almost all subgroups of a Lie group are free
• Generic properties of finitely presented groups and howson's theorem