Dicks, Warren.

Group Fixed by a Family of Injective Endomorphisms of a Free Group. - 1st ed. - 1 online resource (96 pages) - Contemporary Mathematics ; v.195 . - Contemporary Mathematics .

Intro -- 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.

9780821877869


Free metabelian groups.
Automorphisms.
Groupoids.


Electronic books.

QA174.2 -- .D53 1996eb

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