A Freiheitssatz for free products of pro-p groups
โ Scribed by N.S. Romanovskii; J.S. Wilson
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 131 KB
- Volume
- 254
- Category
- Article
- ISSN
- 0021-8693
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
In 1988, S. White proved by means of field theory supplemented by a geometric d ลฝ . argument that the real bijections x ยฌ x q 1 and x ยฌ x d an odd prime generate a free group of rank 2. When these maps are considered in prime ลฝ . characteristic p so that x ยฌ x q 1 generates a cyclic group of order p