Publication

2018-01-31 - Societe Mathematique De France

Language

English

Word Count

41,250 words, Guess

Page Count

165 pages

Physical Format

Paperback

Identifiers

  • ISBN-102856298702
  • ISBN-139782856298701
  • OCLC Control Number1022120150
  • Better World Books9782856298701
  • Open LibraryOL27350290M

Classifications

  • LCCQA183.G85 2017
  • LCCQA183 .G85 2017

Description

JSJ decompositions of finitely generated groups are a fundamental tool in geometric group theory, encoding all splittings of a group over a given class of subgroups. We give a unified account of this theory with complete proofs and many examples. We introduce a simple and general definition of JSJ decompositions, the natural object being a deformation space of actions on trees, similar to Outer Space. In many cases of interest, this deformation space contains a canonical JSJ tree, which is invariant under automorphisms.

Subjects

Topics

MathematicsGroup theoryCylindric algebrasAmalgams (Group theory)

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