EXPLICIT FREE SUBGROUPS OF AUT(R,LESS-THAN-OR-EQUAL-TO)

Authors
BENNETT CD
Citation
Cd. Bennett, EXPLICIT FREE SUBGROUPS OF AUT(R,LESS-THAN-OR-EQUAL-TO), Proceedings of the American Mathematical Society, 125(5), 1997, pp. 1305-1308
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
125
Issue
5
Year of publication
1997
Pages
1305 - 1308
Database
ISI
SICI code
0002-9939(1997)125:5<1305:EFSOA>2.0.ZU;2-A
Abstract
In this note for any finite n > 1, we give an explicit free subgroup o f rank n of the groups of ordered permutations of the reals (Aut(R, le ss than or equal to)) for which the proof that the subgroup is free is elementary. Moreover, this example naturally generalizes to the group Aut(Q, less than or equal to).