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This book provides a detailed exposition of a wide range of topics in geometric group theory, inspired by Gromov’s pivotal work in the 1980s. It includes classical theorems on nilpotent groups and solvable groups, a fundamental study of the growth of groups, a detailed look at asymptotic cones, and a discussion of related subjects including filters and ultrafilters, dimension theory, hyperbolic geometry, amenability, the Burnside problem, and random walks on groups. The results are unified under the common theme of Gromov’s theorem, namely that finitely generated groups of polynomial...

This new proceedings is a collection of papers presenting the recent developments and research in various fields of algebra, especially Lie Algebras, Rings and their related topics undertaken in the U.S.A., Russia, North Asia and Israel. Contributors include E. Zelmanov, the 1994 Fields Medalist, L. Bokut, Gunter F. Pilz, Koichiro Harada, Alexander Kemer, V.K. Kharchenko, L. Makar-Limanov and Louis H. Rowen.