The ubiquity of free groups

DOI10.1007/BF03025870zbMath0791.20001MaRDI QIDQ1200120

A. M. W. Glass

Publication date: 17 January 1993

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

zbMATH Keywords

finitely generated subgroupsfree productsfree groupsfunctionstransitive permutation groupsorder-automorphismscomplex or real numbershighly homogeneous poset

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Free nonabelian groups (20E05) Infinite automorphism groups (20B27) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items (4)

Surface groups in the group of germs of analytic diffeomorphisms in one variable ⋮ Groups where free subgroups are abundant ⋮ Automorphism groups of countable highly homogeneous partially ordered sets ⋮ Intertwined mappings

Cites Work

• Unnamed Item
• Some remarks on the infinite symmetric groups
• The group generated by \(x\mapsto x+1\) and \(x\mapsto x^ p\) is free
• Almost all subgroups of a Lie group are free
• Free subgroups in linear groups
• Highly transitive representations of free products on the natural numbers
• Highly transitive representations of free groups and free products
• Structure of partially ordered sets with transitive automorphism groups
• The group of the countable universal graph
• GROUPS OF AUTOMORPHISMS OF N₀-CATEGORICAL STRUCTURES
• Most Finitely Generated Permutation Groups are Free
• Arithmetic Permutations
• Highly Transitive Jordan Representations of Free Products
• A PERMUTATION REPRESENTATION OF A FREE GROUP
• THE GROUP OF TRANSLATIONS AND POSITIVE RATIONAL POWERS IS FREE

This page was built for publication: The ubiquity of free groups