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Lectures in Mathematics. ETH Zürich

Topics in Combinatorial Group Theory

Authors: Baumslag, Gilbert

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  • ISBN 978-3-0348-8587-4
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About this book

Combinatorial group theory is a loosely defined subject, with close connections to topology and logic. With surprising frequency, problems in a wide variety of disciplines, including differential equations, automorphic functions and geometry, have been distilled into explicit questions about groups, typically of the following kind: Are the groups in a given class finite (e.g., the Burnside problem)? Finitely generated? Finitely presented? What are the conjugates of a given element in a given group? What are the subgroups of that group? Is there an algorithm for deciding for every pair of groups in a given class whether they are isomorphic or not? The objective of combinatorial group theory is the systematic development of algebraic techniques to settle such questions. In view of the scope of the subject and the extraordinary variety of groups involved, it is not surprising that no really general theory exists. These notes, bridging the very beginning of the theory to new results and developments, are devoted to a number of topics in combinatorial group theory and serve as an introduction to the subject on the graduate level.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook 35,69 €
price for Spain (gross)
  • ISBN 978-3-0348-8587-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 46,79 €
price for Spain (gross)
  • ISBN 978-3-7643-2921-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Topics in Combinatorial Group Theory
Authors
Series Title
Lectures in Mathematics. ETH Zürich
Copyright
1993
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Verlag
eBook ISBN
978-3-0348-8587-4
DOI
10.1007/978-3-0348-8587-4
Softcover ISBN
978-3-7643-2921-1
Edition Number
1
Number of Pages
VIII, 170
Topics