On amalgamated products of profinite groups
โ Scribed by Luis Ribes
- Publisher
- Springer-Verlag
- Year
- 1971
- Tongue
- French
- Weight
- 596 KB
- Volume
- 123
- Category
- Article
- ISSN
- 0025-5874
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We find a necessary and sufficient condition for an amalgamated free product of arbitrarily many isomorphic residually \(p\)-finite groups to be residually \(p\)-finite. We also prove that this condition is sufficient for a free product of any finite number of residually \(p\)-finite groups, amalgam
G and G amalgamating a common subgroup H. The first problem that 1 2 one encounters is that the residual finiteness of G and G does not imply 1 2 w x in general that G is residually finite. Baumslag 1 proved that if G and 1 G are either both free or both torsion-free finitely generated nilpotent 2 g
Let H and K be quasiconvex subgroups of a negatively curved locally extended ลฝ . residually finite LERF group G. It is shown that if H is malnormal in G, then the double coset KH is closed in the profinite topology of G. In particular, this is true if G is the fundamental group of an atoroidal LERF