On the Residual Finiteness of Certain Polygonal Products
Canadian mathematical bulletin, Tome 32 (1989) no. 1, pp. 11-17
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We give examples to show that unlike generalized free products of groups (g.f.p.) polygonal products of finitely generated (f.g.) nilpotent groups with cyclic amalgamations need not be residually finite (R ) and polygonal products of finite p-groups with cyclic amalgamations need not be residually nilpotent. However, polygonal products f.g. abelian groups are R , and under certain conditions polygonal products of finite p-groups with cyclic amalgamations are R .
Allenby, R. B. J. T.; Tang, C. Y. On the Residual Finiteness of Certain Polygonal Products. Canadian mathematical bulletin, Tome 32 (1989) no. 1, pp. 11-17. doi: 10.4153/CMB-1989-002-8
@article{10_4153_CMB_1989_002_8,
author = {Allenby, R. B. J. T. and Tang, C. Y.},
title = {On the {Residual} {Finiteness} of {Certain} {Polygonal} {Products}},
journal = {Canadian mathematical bulletin},
pages = {11--17},
year = {1989},
volume = {32},
number = {1},
doi = {10.4153/CMB-1989-002-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-002-8/}
}
TY - JOUR AU - Allenby, R. B. J. T. AU - Tang, C. Y. TI - On the Residual Finiteness of Certain Polygonal Products JO - Canadian mathematical bulletin PY - 1989 SP - 11 EP - 17 VL - 32 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-002-8/ DO - 10.4153/CMB-1989-002-8 ID - 10_4153_CMB_1989_002_8 ER -
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