1.

Record Nr.

UNINA9910480334903321

Autore

Dicks Warren <1947->

Titolo

The group fixed by a family of injective endomorphisms of a free group / / Warren Dicks, Enric Ventura

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [1996]

©1996

ISBN

0-8218-7786-0

Descrizione fisica

1 online resource (96 p.)

Collana

Contemporary mathematics, , 0271-4132 ; ; 195

Disciplina

512/.2

Soggetti

Free metabelian groups

Automorphisms

Groupoids

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references (pages 75-76) and index.

Nota di contenuto

""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 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""; ""Open Problems""; ""Bibliography""; ""Index""