Algebra IV: Infinite Groups, Linear Groups (Encyclopaedia of Mathematical Sciences) - Hardcover

Aleksei Ivanovich Kostrikin

Hardcover

ISBN 10: 0387533729 ISBN 13: 9780387533728

Publisher: Springer Verlag, 1993

Synopsis

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 include the classical groups, algebraic groups, topological methods, conjugacy theorems, and finite linear groups. This book will be very useful to all mathematicians, physicists and other scientists including graduate students who use group theory in their work.

Edition details

• Publisher: Springer Verlag
• Publication date: 1993
• ISBN 10: 0387533729
• ISBN 13: 9780387533728
• Binding: Hardcover
• Language: English
• Number of pages: 203
• Editor: Igor R. Shafarevich