From the reviews: "This is a self-contained carefully written lecture note on algebraic groups as well as real and complex Lie groups. For algebraic groups the authors stress the difference between groups over fields of characteristic zero and characteristic p. ... Overall the notes provide an excellent introduction to the subject and this research monograph presents remarkable and powerful results. It is a good reference for researchers working on groups outside the family of reductive groups." (Jorge A. Vargas, Mathematical Reviews, Issue 2009 g) "The authors study both algebraic groups and real and complex Lie groups by imposing on their connected subgroups the analogues of familiar conditions in abstract group theory. ... This book serves as a valuable resource to those working in the field of algebraic groups and as a good place to learn about this aspect of that field." (Ernest L. Stitzinger, Zentralblatt MATH, Vol. 1176, 2010)

• Prerequisites.- Extensions.- Groups of Extreme Nilpotency Class.- Chains.- Groups with Few Types of Isogenous Factors.- Three-Dimensional Affine Groups.- Normality of Subgroups.