Encyclopaedia of Mathematical Sciences Algebra

Algebra IV

Infinite Groups. Linear Groups

Editors: Kostrikin, A.I., Shafarevich, I.R. (Eds.)

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About this book

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.

Table of contents (2 chapters)

Table of contents (2 chapters)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-3-662-02869-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-3-540-53372-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $149.99
price for USA in USD
  • ISBN 978-3-642-08100-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Algebra IV
Book Subtitle
Infinite Groups. Linear Groups
Editors
  • A.I. Kostrikin
  • I.R. Shafarevich
Translated by
Wiegold, J.
Series Title
Encyclopaedia of Mathematical Sciences
Series Volume
37
Copyright
1993
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-02869-8
DOI
10.1007/978-3-662-02869-8
Hardcover ISBN
978-3-540-53372-6
Softcover ISBN
978-3-642-08100-2
Series ISSN
0938-0396
Edition Number
1
Number of Pages
X, 206
Additional Information
Original Russian edition published by VINITI, Moscow, 1989
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