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On finitely generated subgroups which are of finite index in generalized free products. (English) Zbl 0223.20032


MSC:

20E22 Extensions, wreath products, and other compositions of groups
20E15 Chains and lattices of subgroups, subnormal subgroups
20E06 Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations
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References:

[1] Benjamin Baumslag, Intersections of finitely generated subgroups in free products, J. London Math. Soc. 41 (1966), 673 – 679. · Zbl 0145.02402 · doi:10.1112/jlms/s1-41.1.673
[2] R. G. Burns, On the finitely generated subgroups of an amalgamated product of two groups, Trans. Amer. Math. Soc. 169 (1972), 293 – 306. · Zbl 0254.20020
[3] Leon Greenberg, Discrete groups of motions, Canad. J. Math. 12 (1960), 415 – 426. · Zbl 0096.02102 · doi:10.4153/CJM-1960-036-8
[4] H. B. Griffiths, A covering-space approach to theorems of Greenberg in Fuchsian, Kleinian and other groups, Comm. Pure Appl. Math. 20 (1967), 365 – 399. · Zbl 0166.29203 · doi:10.1002/cpa.3160200207
[5] G. Higman, Some problems and results in the theory of groups. II, Notes of a Mini-Conference, Oxford, 12th and 13th August 1966, pp. 15-16.
[6] A. Howard M. Hoare, Abraham Karrass, and Donald Solitar, Subgroups of infinite index in Fuchsian groups, Math. Z. 125 (1972), 59 – 69. · Zbl 0223.20054 · doi:10.1007/BF01111114
[7] A. Karrass and D. Solitar, The subgroups of a free product of two groups with an amalgamated subgroup, Trans. Amer. Math. Soc. 150 (1970), 227 – 255. · Zbl 0223.20031
[8] B. H. Neumann, Groups covered by permutable subsets, J. London Math. Soc. 29 (1954), 236 – 248. · Zbl 0055.01604 · doi:10.1112/jlms/s1-29.2.236
[9] J. Schreier and S. Ulam, Über die Permutationsgruppe der natürlichen Zahlenfolge, Studia Math. 4 (1933), 134-141. · Zbl 0008.20003
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