The non-Abelian Specker-group is free

DOI10.1006/jabr.1999.8261zbMath0959.20028OpenAlexW2003784043MaRDI QIDQ1577619

Andreas Zastrow

Publication date: 12 December 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8261

zbMATH Keywords

inverse limitsHawaiian earringbounded word sequencesfinitely generated non-Abelian free groupsnon-Abelian Specker group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Free nonabelian groups (20E05)

Related Items (14)

Combinatorial \(\mathbb R\)-trees as generalized Cayley graphs for fundamental groups of one-dimensional spaces. ⋮ The word problem for some uncountable groups given by countable words ⋮ On semilocally simply connected spaces ⋮ An uncountable homology group, where each element is an infinite product of commutators ⋮ The number of homomorphisms from the Hawaiian earring group ⋮ On the Abelianization of Certain Topologist’s Products ⋮ GENERALIZED PRESENTATIONS OF INFINITE GROUPS, IN PARTICULAR OF Aut(F_ω) ⋮ Trees, fundamental groups and homology groups ⋮ Deeply concatenable subgroups might never be free ⋮ Word calculus in the fundamental group of the Menger curve ⋮ Free subgroups of the fundamental group of the Haiwaiian earring ⋮ Algebraic topology of Peano continua ⋮ Free and non-free subgroups of the fundamental group of the Hawaiian earrings. ⋮ Free subgroups of free complete products

Cites Work

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• Algebraische Konsequenzen des Determiniertheits-Axioms. (Algebraic consequences of the Axiom of Determinacy)
• Free \(\sigma\)-products and fundamental groups of subspaces of the plane
• The combinatorial structure of the Hawaiian earring group
• Verallgemeinerung eines Satzes von Herrn F. Specker
• 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
• Unrestricted Free Products, and Varieties of Topological Groups
• THE FUNDAMENTAL GROUP OF TWO SPACES WITH A COMMON POINT

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