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portada Out(Fn)
Type
Physical Book
Publisher
Language
English
Format
Paperback
Dimensions
22 x 0 cm
ISBN13
9786131299322

Out(Fn)

New Book Imported to Austria
Delivery: 02 Oct - 06 Oct Shipping: 13 to 14 business days.
146,81 €
Import costs and 10% VAT included in the price ✅
146,81 €

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Synopsis "Out(Fn)"

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, Out(Fn) is the outer automorphism group of a free group on n generators. These groups play an important role in geometric group theory. A point of the outer space is essentially an R-Graph X homotopy equivalent to a bouquet of n circles together with a certain choice of a free homotopy class of a homotopy equivalence from X to the Bouquet of n circles. An R- Graph is just a weighted Graph with weights in R. The sum of all weights should be 1 and all weights should be positive. To avoid disambiguity (and to get a finite dimensional space) it is furthermore required, that the valency of each vertex should be at least 2. A more descriptive view avoiding the homotopy equivalence f is the following. We may fix an identification of the fundamental group of the bouquet of n circles with the free group Fn in n variables. Furthermore we may choose a maximal tree in X and choose for each remaining edge a direction. We will now assign to each remaining edge e a word in Fn in the following way.

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