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Subgroups of Free Topological Groups and Free Topological Products of Topological Groups
Author(s) -
Brown R.,
Hardy J. P. L.
Publication year - 1975
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-10.4.431
Subject(s) - mathematics , topological group , citation , topology (electrical circuits) , library science , computer science , combinatorics
Our objectives are topological versions of the Nielsen-Schreier Theorem on subgroups of free groups, and the Kurosh Theorem on subgroups of free products of groups. It is known that subgroups of free topological groups need not be free topological [2, 6, and 9]. However we might expect a subgroup theorem when a continuous Schreier transversal exists, and we give such a result in the category of Hausdorff /