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Ends and amalgamated free products of groups

โœ Scribed by Peter C. Oxley


Publisher
Springer-Verlag
Year
1972
Tongue
French
Weight
425 KB
Volume
127
Category
Article
ISSN
0025-5874

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๐Ÿ“œ SIMILAR VOLUMES


Ends and free products of groups
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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

On Amalgamated Free Products of Residual
โœ G.S. Kim; J. Mccarron ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 426 KB

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