Non-free torsion-free profinite groups with open free subgroups
Tóm tắt
For every integere≧3 there exists a non-free torsion-free profinite group containing ª as an open subgroup.
Tài liệu tham khảo
E. Binz, J. Neukirch and G. H. Wenzel,A subgroup theorem for free products of profinite groups. J. Algebra19 (1971), 104–109.
M. Jarden,Algebraic extensions of finite corank of Hilbertian fields, Isr. J. Math.18 (1974), 279–307.
M. Jarden,Torsion-free profinite groups with open free subgroups, Arch. Math.39 (1982), 496–500.
O. V. Mel'nikov,Normal subgroups of free profinite groups, Math. USSR Izv.12 (1978), 1–20.
J.-P. Serre,Sur la dimension cohomologique des groupes profinis, Topology3 (1965), 413–420.
J. R. Stalling,On torsion-free groups with infinitely many ends, Ann. Math.88 (1968), 312–334.
R. G. Swan,Groups of cohomological dimension one, J. Algebra12 (1969), 585–610.