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Bulletin of the London Mathematical Society (1)

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UBIQUITY OF FREE SUBGROUPS
P. M. GARTSIDE, R. W. KNIGHT
Journal:

Bulletin of the London Mathematical Society / Volume 35 / Issue 5 / September 2003

Published online by Cambridge University Press:

13 August 2003, pp. 624-634

Print publication:

September 2003
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Necessary and sufficient conditions are given for a Polish topological group to be ‘almost free’. It is deduced that the existence of one free subgroup of a Polish group can lead to the existence of many free subgroups of maximal rank. Applications are given to permutation groups, profinite groups, Lie groups and unitary groups.