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On quasifree profinite groups |
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| Authors: | Luis Ribes Katherine Stevenson Pavel Zalesskii |
| Institution: | School of Mathematics and Statistics, Carleton University, Ottawa, Ontario, Canada K1S 5B6 ; Department of Mathematics, California State University Northridge, Northridge, California 91330 ; Department of Mathematics, University of Brasília, Brasília, Brazil |
| Abstract: | Recently, it has been shown by Harbater and Stevenson that a profinite group  is free profinite of infinite rank  if and only if  is projective and  -quasifree. The latter condition requires the existence of  distinct solutions to certain embedding problems for  . In this paper we provide several new non-trivial examples of  -quasifree groups, projective and non-projective. Our main result is that open subgroups of  -quasifree groups are  -quasifree. |
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