Geodesic
Local Freeness of Profinite Groups
Canadian mathematical bulletin, Tome 25 (1982) no. 4, pp. 441-446

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In this paper we discuss the relationship between local properties such as freeness and projectivity of a group and the freeness or projectivity of its pro-C-completion. We show that for certain classes, C, of finite groups (e.g. p-groups, nilpotent groups, super-solvable groups) the pro-C-completion of a locally free pro-C-group is a free pro-C-group. We also show that under certain circumstances the converse is also true but we leave open the question, for example, of whether a locally free pro-p-group is free.
DOI : 10.4153/CMB-1982-063-7
Mots-clés : 20E18 
Pletch, Andrew. Local Freeness of Profinite Groups. Canadian mathematical bulletin, Tome 25 (1982) no. 4, pp. 441-446. doi: 10.4153/CMB-1982-063-7
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     title = {Local {Freeness} of {Profinite} {Groups}},
     journal = {Canadian mathematical bulletin},
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     year = {1982},
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     number = {4},
     doi = {10.4153/CMB-1982-063-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-063-7/}
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