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On residual finiteness of free products of groups with amalgamated subgroup

โœ Scribed by D. N. Azarov

Book ID
110614059
Publisher
SP MAIK Nauka/Interperiodica
Year
1997
Tongue
English
Weight
626 KB
Volume
38
Category
Article
ISSN
0037-4466

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๐Ÿ“œ SIMILAR VOLUMES

On Amalgamated Free Products of Residual
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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

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A topological proof of the residual finiteness of certain amalgamated free products
โœ Marvin Tretkoff ๐Ÿ“‚ Article ๐Ÿ“… 1973 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 293 KB

The purpose of the present paper is to give a topological proof of the fact that the free product of two residually finite groups with a finite subgroup amalgamated is itself residually finite. This theorem, which is due to G. Baumslag [2], is a generalization of the corresponding result for ordinar