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The residual finiteness of certain amalgamated free products

โœ Scribed by Marvin Tretkoff

Publisher
Springer-Verlag
Year
1973
Tongue
French
Weight
193 KB
Volume
132
Category
Article
ISSN
0025-5874

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๐Ÿ“œ SIMILAR VOLUMES

A topological proof of the residual fini
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

On Amalgamated Free Products of Residual
On Amalgamated Free Products of Residually p-Finite Groups
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

Amalgamated Free Products of Inverse Sem
Amalgamated Free Products of Inverse Semigroups
โœ J.B. Stephen ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 296 KB

We study amalgamated free products in the category of inverse semigroups. Our approach is combinatorial. Graphical techniques are used to relate the structures of the inverse semigroups in a pushout square, and we then examine amalgamated free products. We show that an amalgam of inverse semigroups