Geodesic
Cyclic Subgroup Separability of Generalized Free Products
Canadian mathematical bulletin, Tome 36 (1993) no. 3, pp. 296-302

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DOI

We derive a criterion for a generalized free product of groups to be cyclic subgroup separable. We see that most of the known results for cyclic subgroup separability are covered by this criterion, and we apply the criterion to polygonal products of groups. We show that a polygonal product of finitely generated abelian groups, amalgamating cyclic subgroups, is cyclic subgroup separable.
DOI : 10.4153/CMB-1993-042-7
Mots-clés : 20E26, 20E06, generalized free products, polygonal products, residually finite, cyclic subgroup separable (πc). 
Kim, Goansu. Cyclic Subgroup Separability of Generalized Free Products. Canadian mathematical bulletin, Tome 36 (1993) no. 3, pp. 296-302. doi: 10.4153/CMB-1993-042-7
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     title = {Cyclic {Subgroup} {Separability} of {Generalized} {Free} {Products}},
     journal = {Canadian mathematical bulletin},
     pages = {296--302},
     year = {1993},
     volume = {36},
     number = {3},
     doi = {10.4153/CMB-1993-042-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1993-042-7/}
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