Free subgroups of the fundamental group of the Haiwaiian earring

DOI10.1006/jabr.1999.7912zbMath0951.20016OpenAlexW2031600614MaRDI QIDQ1305444

Katsuya Eda

Publication date: 3 October 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1999.7912

zbMATH Keywords

free subgroupsfundamental groupsHawaiian earring

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Fundamental group, presentations, free differential calculus (57M05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

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Cites Work

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• Free \(\sigma\)-products and noncommutatively slender groups
• Free \(\sigma\)-products and fundamental groups of subspaces of the plane
• The non-Abelian Specker-group is free
• The combinatorial structure of the Hawaiian earring group
• Verallgemeinerung eines Satzes von Herrn F. Specker
• THE FIRST INTEGRAL SINGUAR HOMOLOGY GROUPS OF ONE POINT UNIONS
• Unrestricted Free Products, and Varieties of Topological Groups