PROPERTIES OF HYPERBOLIC GROUPS: FREE NORMAL SUBGROUPS, QUASICONVEX SUBGROUPS AND ACTIONS OF MAXIMAL GROWTH

Hyperbolic groups are defined using the analogy between algebraic objects groups and hyperbolic metric spaces and manifolds. Our research involves the study and use of two very different, yet very natural, classes of subgroups in a hyperbolic group G: normal subgroups and quasiconvex subgroups. Norm...

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Bibliographic Details
Main Author: Chaynikov, Vladimir Vladimirovich
Other Authors: Alexander Olshanskiy
Format: Others
Language:en
Published: VANDERBILT 2012
Subjects:
Online Access:http://etd.library.vanderbilt.edu/available/etd-06212012-172048/