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

DOI

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
@article{10_4153_CMB_1994_062_5,
     author = {Allenby, R. B. J. T.},
     title = {The {Residual} {Finiteness} of {Polygonal} {Products{\textemdash}Two} {Counterexamples}},
     journal = {Canadian mathematical bulletin},
     pages = {433--436},
     year = {1994},
     volume = {37},
     number = {4},
     doi = {10.4153/CMB-1994-062-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-062-5/}
}
TY  - JOUR
AU  - Allenby, R. B. J. T.
TI  - The Residual Finiteness of Polygonal Products—Two Counterexamples
JO  - Canadian mathematical bulletin
PY  - 1994
SP  - 433
EP  - 436
VL  - 37
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-062-5/
DO  - 10.4153/CMB-1994-062-5
ID  - 10_4153_CMB_1994_062_5
ER  - 
%0 Journal Article
%A Allenby, R. B. J. T.
%T The Residual Finiteness of Polygonal Products—Two Counterexamples
%J Canadian mathematical bulletin
%D 1994
%P 433-436
%V 37
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-062-5/
%R 10.4153/CMB-1994-062-5
%F 10_4153_CMB_1994_062_5

Cité par Sources :