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Amalgamations of pro-p-groups with one defining relator

โœ Scribed by D Gildenhuys

Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
623 KB
Volume
42
Category
Article
ISSN
0021-8693

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๐Ÿ“œ SIMILAR VOLUMES

Universal group with twenty-one defining
Universal group with twenty-one defining relations
โœ M.K. Valiev ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 416 KB

11 is proved that every finit,.ly presented group .':.an be embedded in a group with twenty-one defining relations. The immediate consequence of the well-known theorem of Higman is that there exist universal finitely presented (f.p.) groups, i.e. groups in which every f.p. group (and consequently

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