Free and non-free subgroups of the fundamental group of the Hawaiian earrings.

DOI10.2478/BF02475662zbMath1064.20031OpenAlexW2010763428MaRDI QIDQ1856352

Andreas Zastrow

Publication date: 18 May 2003

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/bf02475662

zbMATH Keywords

free subgroupsfundamental groupsHawaiian earringsword sequencesalmost free subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Fundamental group, presentations, free differential calculus (57M05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Limits, profinite groups (20E18) Homotopy groups of special spaces (55Q52)

Related Items (2)

The word problem for some uncountable groups given by countable words ⋮ Dense products in fundamental groupoids

Cites Work

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• Free \(\sigma\)-products and noncommutatively slender groups
• Free \(\sigma\)-products and fundamental groups of subspaces of the plane
• Free subgroups of the fundamental group of the Haiwaiian earring
• The non-Abelian Specker-group is free
• The combinatorial structure of the Hawaiian earring group
• The big fundamental group, big Hawaiian earrings, and the big free groups
• Infinite Products of Semi-Groups and Local Connectivity
• THE FUNDAMENTAL GROUP OF THE HAWAIIAN EARRING IS NOT FREE
• A Van Kampen Theorem for Weak Joins
• Construction of an infinitely generated group that is not a free product of surface groups and abelian groups, but which acts freely on an ℝ-tree
• Groups Acting on Protrees
• Unrestricted Free Products, and Varieties of Topological Groups
• THE FUNDAMENTAL GROUP OF TWO SPACES WITH A COMMON POINT

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