Limits of generalized quaternion groups

Document Type : Research Paper


University of Tabriz


‎In the space of marked group‎s, ‎we determine the structure of groups which are limit points of the set of all generalized quaternion groups‎.


Main Subjects

[1] C. Champtier and V. Guirardel, Limit groups as limits of free groups, Israel J. Math. , 146 (2004) 1{75.
[2] R. I. Grigorchuk, Degrees of growth of nitely generated groups and the theory of invariant means, Izv. Akad. Nauk
SSSR Ser. Mat. , 48 (1984) 939{985.
[3] M. Gromov, Groups of p olynomial growth and expanding maps, Inst. Hautes Etudes Sci. Publ. Math. , 53 (1981)
[4] L. Guyot, Limits of dihedral groups, Geom. Dedicata , 147 (2010) 159{171.