Quasi-actions on trees II : finite depth Bass-Serre trees / Lee Mosher, Michah Sageev, Kevin Whyte.

Format:

Book

Author/Creator:

Mosher, Lee, 1957-

Contributor:

Sageev, Michah, 1966-

Whyte, Kevin, 1970-

Series:

Memoirs of the American Mathematical Society ; no. 1008.

Memoirs of the American Mathematical Society, 0065-9266 ; no. 1008

Language:

English

Subjects (All):

Geometric group theory.

Rigidity (Geometry).

Physical Description:

v, 105 pages : illustrations ; 26 cm.

Other Title:

Quasi-actions on trees 2

Quasi-actions on trees two

Place of Publication:

Providence, R.I. : American Mathematical Society, 2011.

Summary:

Mosher (Rutgers), Sageev (Technion), and Whyte (U. of Illinois-Chicago) obtain a classification of finitely generated groups up to quasi-isometry, specifically groups which split as graphs of groups, reducing the classification of the whole group to classification of the vertex and edge groups and the pattern in which those groups are pieced together. The monograph proves rigidity for the depth zero rafts and vertex rigidity within the rafts, explores the coarse lattice of vertex and edge spaces, and concludes that quasi-isometries on the Bass-Serre complex descend to quasi-isometries on the Bass-Serre tree. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com)

Notes:

"November 2011, volume 214, number 1008 (fourth of 5 numbers)."

Includes bibliographical references and index.

ISBN:

9780821847121

0821847120

OCLC:

745980784