Algebra IV : Infinite Groups. Linear Groups

Kostrikin, A. I.; Shafarevich, I. R.; Wiegold, J. (TRN); Ol'shanskij, A. Yu. (CON); Shmel'kin, A. L. (CON)

ISBN 10: 3642081002 / ISBN 13: 9783642081002

Verlag: Springer, 2010

Bestandsnummer des Verkäufers 12034832-n

Inhaltsangabe:

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.

Reseña del editor:

Group theory is one of the most fundamental branches of mathematics. This highly accessible volume of the Encyclopaedia is devoted to two important subjects within this theory. Extremely useful to all mathematicians, physicists and other scientists, including graduate students who use group theory in their work.

Bibliografische Details

Titel: Algebra IV : Infinite Groups. Linear Groups
Verlag: Springer
Erscheinungsdatum: 2010
Einband: Softcover
Zustand: New