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- catalog abstract "This monograph contains a proof of the Bestvina-Handel Theorem (for any automorphism of a free group of rank n, the fixed group has rank at most n) that to date has not been available in book form. The account is self-contained, simplified, purely algebraic, and extends the results to an arbitrary family of injective endomorphisms. The topological proof by Bestvina-Handel is translated into the language of groupoids and many details previously left to the reader are meticulously verified in this text.".
- catalog contributor b9437012.
- catalog contributor b9437013.
- catalog created "1996.".
- catalog date "1996".
- catalog date "1996.".
- catalog dateCopyrighted "1996.".
- catalog description "Ch. 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 -- Ch. II. Measuring Devices. II. 1. Some Aspects of the Perron-Frobenius Theorem. II. 2. Metric Graphs and Weighted Graphs. II. 3. The Five Quantifiers -- Ch. 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 -- Ch. IV. Minimal Representatives and Fixed Subgroupoids. IV. 1. Existence. IV. 2. Smoothness. IV. 3. Indivisible Fixed Elements. IV. 4. Folding Indivisible Fixed Elements. IV. 5. Inertia of the Fixed Subgroupoid.".
- catalog description "Includes bibliographical references and index.".
- catalog description "This monograph contains a proof of the Bestvina-Handel Theorem (for any automorphism of a free group of rank n, the fixed group has rank at most n) that to date has not been available in book form. The account is self-contained, simplified, purely algebraic, and extends the results to an arbitrary family of injective endomorphisms. The topological proof by Bestvina-Handel is translated into the language of groupoids and many details previously left to the reader are meticulously verified in this text.".
- catalog extent "ix, 81 p. ;".
- catalog identifier "0821805649 (alk. paper)".
- catalog isPartOf "Contemporary mathematics (American Mathematical Society) ; v. 195.".
- catalog isPartOf "Contemporary mathematics, 0271-4132 ; 195".
- catalog issued "1996".
- catalog issued "1996.".
- catalog language "eng".
- catalog publisher "Providence, R.I. : American Mathematical Society,".
- catalog subject "512/.2 20".
- catalog subject "Automorphisms.".
- catalog subject "Free metabelian groups.".
- catalog subject "Groupoids.".
- catalog subject "QA174.2 .D53 1996".
- catalog tableOfContents "Ch. 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 -- Ch. II. Measuring Devices. II. 1. Some Aspects of the Perron-Frobenius Theorem. II. 2. Metric Graphs and Weighted Graphs. II. 3. The Five Quantifiers -- Ch. 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 -- Ch. IV. Minimal Representatives and Fixed Subgroupoids. IV. 1. Existence. IV. 2. Smoothness. IV. 3. Indivisible Fixed Elements. IV. 4. Folding Indivisible Fixed Elements. IV. 5. Inertia of the Fixed Subgroupoid.".
- catalog title "The group fixed by a family of injective endomorphisms of a free group / Warren Dicks, Enric Ventura.".
- catalog type "text".