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
On residually finite graph products
โ Scribed by M. Shirvani
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 116 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0022-4049
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๐ SIMILAR VOLUMES
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
We show that certain properties of groups of automorphisms can be read off from the actions they induce on the finite characteristic quotients of their underlying group G. In particular, we obtain criteria for groups of automorphisms of a ลฝ . residually finite and soluble minimax -by-finite group G