Symmetric Automorphisms of Free Products
Author | : Darryl McCullough |
Publisher | : American Mathematical Soc. |
Total Pages | : 113 |
Release | : 1996 |
ISBN-13 | : 9780821804599 |
ISBN-10 | : 0821804596 |
Rating | : 4/5 (96 Downloads) |
Download or read book Symmetric Automorphisms of Free Products written by Darryl McCullough and published by American Mathematical Soc.. This book was released on 1996 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors construct a complex [italic capital]K([italic capital]G) on which the automorphism group of [italic capital]G acts and use it to derive finiteness consequences for the group [capital Greek]Sigma [italic]Aut([italic capital]G). They prove that each component of [italic capital]K([italic capital]G) is contractible and describe the vertex stabilizers as elementary constructs involving the groups [italic capital]G[subscript italic]i and [italic]Aut([italic capital]G[subscript italic]i).