Geodesic
Subgroup Separability of Generalized Free Products of Free-By-Finite Groups
Canadian mathematical bulletin, Tome 36 (1993) no. 4, pp. 385-389

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DOI

We prove that generalized free products of finitely generated free-byfinite groups amalgamating a cyclic subgroup are subgroup separable. From this it follows that if where t ≥ 1 and u, v are words on {a1,...,am} and {b1,...,bn} respectively then G is subgroup separable thus generalizing a result in [9] that such groups have solvable word problems.
DOI : 10.4153/CMB-1993-052-3
Mots-clés : 20E06, 20E26, 20F05, 20F10 
Allenby, R. B. J. T.; Tang, C. Y. Subgroup Separability of Generalized Free Products of Free-By-Finite Groups. Canadian mathematical bulletin, Tome 36 (1993) no. 4, pp. 385-389. doi: 10.4153/CMB-1993-052-3
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     title = {Subgroup {Separability} of {Generalized} {Free} {Products} of {Free-By-Finite} {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {385--389},
     year = {1993},
     volume = {36},
     number = {4},
     doi = {10.4153/CMB-1993-052-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1993-052-3/}
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