On the extension of equalities in connected topological groups
Jan Mycielski (1957)
Fundamenta Mathematicae
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Displaying similar documents to “On the existence of free subgroups in topological groups”
On the extension of equalities in connected topological groups
Free subgroups of the orthogonal group
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Jan Mycielski (1958)
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Valuated Butler groups of special type
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Jan Mycielski (1958)
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Virtually free pro-p groups.
P. A. Zalesskii (1999)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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On the imbedding of topological groups into connected topological groups
Stanisław Hartman, Jan Mycielski (1958)
Colloquium Mathematicae
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Infinitary equivalence of abelian groups
Paul Eklof (1974)
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Open subgroups of free topological groups
Jeremy Brazas (2014)
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The theory of covering spaces is often used to prove the Nielsen-Schreier theorem, which states that every subgroup of a free group is free. We apply the more general theory of semicovering spaces to obtain analogous subgroup theorems for topological groups: Every open subgroup of a free Graev topological group is a free Graev topological group. An open subgroup of a free Markov topological group is a free Markov topological group if and only if it is disconnected.