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Finite generated subgroups of hyperbolic groups. (Russian. English summary) Zbl 1438.20041
Summary: It is proved that finite generated subgroups of infinite index of hyperbolic groups which are not quasi Abelian are complemented with a nontrivial free factor.
MSC:
20F67 Hyperbolic groups and nonpositively curved groups
20E07 Subgroup theorems; subgroup growth
20F05 Generators, relations, and presentations of groups
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References:
[1] [1] A. P. Goryushkin, “O konechno porozhdennykh podgruppakh svobodnogo proizvedeniya dvukh grupp s ob’edinennoi podgruppoi”, Uch. zap. Ivanov. ped. in-ta, 1972, no. 117, 11–43
[2] [2] A. P. Goryushkin, Gruppy, razlozhimye v svobodnoe proizvedenie (stroenie i primenenie), Pal. Acad. Publ., Saarbryukken, 2012, 142 pp.
[3] [3] A. P. Goryushkin, “O podgruppakh pochti amalgamirovannogo proizvedeniya dvukh grupp s konechnoi ob’edinennoi podgruppoi”, Vestnik KRAUNTs. Fiziko-matematicheskie nauki, 2012, no. 1(4), 5–10
[4] [4] F. A. Dudkin, K. S. Sviridov, “Dopolnenie podgruppy giperbolicheskoi gruppy svobodnym mnozhitelem”, Algebra i logika, 52:3 (2013), 332–351 · Zbl 1301.20033
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