Ubiquity of free subgroups
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, profinit...
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2003
|
| Summary: | 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. |
|---|