The group fixed by a family of injective endomorphisms of a free group
By: Warren Dicks, Enric Ventura.
Contributors: Ventura, Enric.
Series: Contemporary mathematics,; 195; Contemporary mathematics (American Mathematical Society) ;; v. 195.
Publisher: American Mathematical Society
Published: 1996
Place of publication: Providence, R.I
Language: eng
Number of pages: 81
Subjects: Free metabelian groups.; Automorphisms.; Groupoids.
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.
Notes: Includes bibliographical references and (p. 75-76) index.