Geodesic
The Residual Finiteness of Polygonal Products—Two Counterexamples
Canadian mathematical bulletin, Tome 37 (1994) no. 4, pp. 433-436

Voir la notice de l'article provenant de la source Cambridge University Press

We show that, even under very favourable hypotheses, a polygonal product of finitely generated torsion free nilpotent groups amalgamating infinite cyclic subgroups is, in general, not residually finite, thus answering negatively a question of C. Y. Tang. A second example shows similar kinds of limitations apply even when the factors of the product are free abelian groups.
DOI : 10.4153/CMB-1994-062-5
Mots-clés : Primary: 20E06, 20E26, 20F18, secondary: 20F05, generalised free product, polygonal product, nilpotent group, abelian group, residual finiteness 
Allenby, R. B. J. T. The Residual Finiteness of Polygonal Products—Two Counterexamples. Canadian mathematical bulletin, Tome 37 (1994) no. 4, pp. 433-436. doi: 10.4153/CMB-1994-062-5
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