We derive necessary and sufficient conditions for generalized free products of free groups or finitely generated torsion-free nilpotent groups, amalgamating a cycle, to be residually finite p-groups. Using this, we characterize the residually finite p-group property of tree products of finitely gene
โฆ LIBER โฆ
On the Approximability by Finitep-Groups of Free Products of Groups with Normal Amalgamation
โ Scribed by E. V. Sokolov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2005
- Tongue
- English
- Weight
- 140 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0001-4346
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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