zbMATH — the first resource for mathematics

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.
20F67 Hyperbolic groups and nonpositively curved groups
20E07 Subgroup theorems; subgroup growth
20F05 Generators, relations, and presentations of groups
Full Text: DOI MNR
[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.