The group fixed by a family of injective endomorphisms of a free group

The group fixed by a family of injective endomorphisms of a free group /

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Bibliographic Details
Main Authors: Dicks, Warren, 1947- (Author), Ventura, Enric (Author)
Format: Electronic eBook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [1996]
Series:Contemporary mathematics (American Mathematical Society) ; 195.
Subjects:
Free metabelian groups.
Automorphisms.
Groupoids.
Online Access: Full text (Emmanuel users only)
Table of Contents:
  • Contents
  • Introduction
  • Chapter I. Groupoids
  • I.1. Abstract Maps of Graphs
  • I.2. The Basic Operations
  • I.3. Free Groupoids
  • I.4. Inertia
  • I.5. The Fixed Subgroupoid
  • Chapter II. Measuring Devices
  • II.1. Some Aspects of the Perron-Frobenius Theorem
  • II.2. Metric Graphs and Weighted Graphs
  • II.3. The Five Quantifiers
  • Chapter III. Properties of the Basic Operations
  • III.1. Collapsing a Pretrivial Arc
  • III.2. Subdividing
  • III.3. Folding
  • III.4. Removing a Vertex of Valence Two
  • Chapter IV. Minimal Representatives and Fixed SubgroupoidsIV.1. Existence
  • IV.2. Smoothness
  • IV.3. Indivisible Fixed Elements
  • IV.4. Folding Indivisible Fixed Elements
  • IV.5. Inertia of the Fixed Subgroupoid
  • Open Problems
  • Bibliography
  • Index

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