The Theory of Classes of Groups

This work offers a systematic introduction to the theory of classes of groups, such as research subjects, major research achievements, and directions for future research. The book covers a range of topics including a brief introduction to the fundamental knowledge of group theory; the classical part of the theory of classes of groups covering mainly F-covering sub-groups, F-projectors, F-injectors and F-normalisers; local formations; Schunck classes; Fitting classes; properties of local formations; formation constructions of finite groups and related applications; and the algebra of formations. This volume should be of interest to mathematicians involved in group theory and generalisations, algebras, order, lattices, ordered algebraic structures, general mathematical systems and the mathematics of physics and chemistry.