On the finitely separability of subgroups of generalized free products
Čebyševskij sbornik, Tome 14 (2013) no. 3, pp. 81-87
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It is proved that all finitely generated subgroups of generalized free product of two groups are finitely separable provided that free factors have this property and amalgamated subgroups are normal in corresponding factors and satisfy the maximum condition for subgroups.
Keywords:
generalized free products of groups, finitely separable subgroup.
@article{CHEB_2013_14_3_a10,
author = {D. I. Moldavanskii and A. A. Uskova},
title = {On the finitely separability of subgroups of generalized free products},
journal = {\v{C}eby\v{s}evskij sbornik},
pages = {81--87},
publisher = {mathdoc},
volume = {14},
number = {3},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CHEB_2013_14_3_a10/}
}
TY - JOUR AU - D. I. Moldavanskii AU - A. A. Uskova TI - On the finitely separability of subgroups of generalized free products JO - Čebyševskij sbornik PY - 2013 SP - 81 EP - 87 VL - 14 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CHEB_2013_14_3_a10/ LA - ru ID - CHEB_2013_14_3_a10 ER -
D. I. Moldavanskii; A. A. Uskova. On the finitely separability of subgroups of generalized free products. Čebyševskij sbornik, Tome 14 (2013) no. 3, pp. 81-87. http://geodesic.mathdoc.fr/item/CHEB_2013_14_3_a10/