Conjugacy Separability of Generalized Free Products of Certain Conjugacy Separable Groups
Canadian mathematical bulletin, Tome 38 (1995) no. 1, pp. 120-127

Voir la notice de l'article provenant de la source Cambridge University Press

We prove that generalized free products of finitely generated free-byfinite or nilpotent-by-finite groups amalgamating a cyclic subgroup areconjugacy separable. Applying this result we prove a generalization of a conjecture of Fine and Rosenberger [7] that groups of F-type are conjugacy separable.
DOI : 10.4153/CMB-1995-017-5
Mots-clés : 20E06, 20E26, 20E05, 20F05, 20F18
Tang, C. Y. Conjugacy Separability of Generalized Free Products of Certain Conjugacy Separable Groups. Canadian mathematical bulletin, Tome 38 (1995) no. 1, pp. 120-127. doi: 10.4153/CMB-1995-017-5
@article{10_4153_CMB_1995_017_5,
     author = {Tang, C. Y.},
     title = {Conjugacy {Separability} of {Generalized} {Free} {Products} of {Certain} {Conjugacy} {Separable} {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {120--127},
     year = {1995},
     volume = {38},
     number = {1},
     doi = {10.4153/CMB-1995-017-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-017-5/}
}
TY  - JOUR
AU  - Tang, C. Y.
TI  - Conjugacy Separability of Generalized Free Products of Certain Conjugacy Separable Groups
JO  - Canadian mathematical bulletin
PY  - 1995
SP  - 120
EP  - 127
VL  - 38
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-017-5/
DO  - 10.4153/CMB-1995-017-5
ID  - 10_4153_CMB_1995_017_5
ER  - 
%0 Journal Article
%A Tang, C. Y.
%T Conjugacy Separability of Generalized Free Products of Certain Conjugacy Separable Groups
%J Canadian mathematical bulletin
%D 1995
%P 120-127
%V 38
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-017-5/
%R 10.4153/CMB-1995-017-5
%F 10_4153_CMB_1995_017_5

[1] 1. Allenby, R. B. J. T., Conjugacy separability of a class of \-relator products, Proc. Amer. Math. Soc. 116(1993), 621–628. Google Scholar

[2] 2. Allenby, R. B. J. T. and Tang, C. Y., The residual finiteness of some \-relator groups with torsion, J. Algebra 71(1981), 132–140. Google Scholar

[3] 3. Allenby, R. B. J. T. and Tang, C. Y., Conjugacy separability of certain 1 -relator groups with torsion, J. Algebra 103(1986), 619–637. Google Scholar

[4] 4. Dyer, J. L., Separating conjugates in free-by-finite groups, J. London Math. Soc. (2) 20(1979), 215–221. Google Scholar

[5] 5. Dyer, J. L., Separating conjugates in amalgamated free products and HNN extensions, J. Austral. Math. Soc. Ser. A 29(1980), 35–51. Google Scholar

[6] 6. Fine, B. and Rosenberger, G., Conjugacy separability of Fuchsian groups and related questions, Contemp. Math. 109(1990), 11–18. Google Scholar

[7] 7. Fine, B., Generalized algebraic properties of Fuchsian groups, Groups, St. Andrews 1, London Math. Soc. Lecture Note Series 160, 1989. Google Scholar

[8] 8. Formanek, E., Conjugacy separability in poly cyclic groups, J. Algebra 42(1976), 1–10. Google Scholar

[9] 9. Magnus, W., Karrass, A. and Solitar, D., Combinatorial groups theory, Pure Appl. Math. XIII, Wiley- Interscience, New York, London, Sydney, 1966. Google Scholar

[10] 10. Remeslennikov, V. M., Conjugacy in poly cyclic groups, Algebra i Logika 8(1969), 712–725, Russian; Translation: Algebra and Logic 8(1969), 404–11. Google Scholar

[11] 11. Ribes, L. and Zalesskii, P. A., On the profinite topology on a free group, Bull. London Math. Soc. 25(1993), 37–43. Google Scholar

[12] 12. Stebe, P. F., Residual solvability of an equation in nilpotent groups, Proc. Amer. Math. Soc. 54(1976), 57–58. Google Scholar

Cité par Sources :