๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Residual properties of free products of finite groups

โœ Scribed by Martin W. Liebeck; Aner Shalev

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
144 KB
Volume
268
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

โœฆ Synopsis

Using a probabilistic approach we establish a new residual property of free products of finite groups.

๐Ÿ“œ SIMILAR VOLUMES

Residual Properties of Free Groups
Residual Properties of Free Groups
โœ T.S. Weigel ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 799 KB
Residual properties of free groups
Residual properties of free groups
โœ Robert A. Katz; Wilhelm Magnus ๐Ÿ“‚ Article ๐Ÿ“… 1969 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 516 KB
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

Residual Properties of Free Products of
Residual Properties of Free Products of Infinitely Many Nilpotent Groups Amalgamating Cycles
โœ David Doniz ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 134 KB

We prove that a free product of infinitely many finitely generated, torsion free, nilpotent groups amalgamating isolated cycles is residually finite-p for all primes p so long as the number of generators and nilpotency class of the factors are both bounded. Examples illustrate that if we remove any