Managing Editor: Bruinier, Jan Hendrik
Ed. by Brüdern, Jörg / Cohen, Frederick R. / Droste, Manfred / Duzaar, Frank / Neeb, Karl-Hermann / Noguchi, Junjiro / Shahidi, Freydoon / Sogge, Christopher D. / Wienhard, Anna
6 Issues per year
IMPACT FACTOR 2016: 0.755
5-year IMPACT FACTOR: 0.789
CiteScore 2016: 0.67
SCImago Journal Rank (SJR) 2016: 1.000
Source Normalized Impact per Paper (SNIP) 2016: 1.168
Mathematical Citation Quotient (MCQ) 2016: 0.75
p-Extensions of free pro-p groups
It is proved that a virtually free pro-p group G having a free pro-p subgroup of index p satisfies a pro-p version of the Dyer-Scott structure theorem (Comm. Alg. 3(3) (1975), 195–201). The pro-2 case had been settled by W. Herfort and P. Zalesskii in (manuscr. math. 93, 457–464 (1997)). A proof for (topologically) finitely generated G has been given by C. Scheiderer.
A consequence of our result is that for any automorphism of order pn of a free pro-p group its fixed point group is a free factor.
The main theorem generalizes Serre's well known result, stating that any virtually free torsion free pro-p group is free pro-p (Topology 3, 413–420, (1965)).
Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.