Algebra IV

Group theory is one of the most fundamental branches of
mathematics. This   volume of the Encyclopaedia is devoted to
two important subjects within      group theory. The first part
of the book is concerned with infinite groups. The authors
deal with combinatorial group theory, free                                 constructions
through group actions on trees, algorithmic                           problems,
periodic groups and the Burnside problem, and the                        structure
theory for Abelian, soluble and nilpotent groups. They                  have
included the very latest developments; however, the material
is      accessible to readers familiar with the basic concepts of
algebra.
The   second part treats the theory of linear groups. It is a
genuinely               encyclopaedic survey written for non-specialists.
The topics covered includethe classical groups, algebraic
groups, topological methods, conjugacy         theorems, and finite
linear groups.
This book will be very useful to allmathematicians,
physicists and other scientists including graduate               students
who use group theory in their work.