Tree Lattices
Author:   Hyman Bass ,  Alex Lubotzky
Publisher:   Birkhauser Verlag AG
Volume:   v. 176
ISBN:  

9783764341206


Pages:   232
Publication Date:   August 1999
Replaced By:   9780817641207
Format:   Hardback
Availability:   In Print   Availability explained
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Tree Lattices


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Overview

Group actions on trees furnish a unified geometric way of recasting the chapter of combinatorial group theory dealing with free groups, amalgams, and HNN extensions. Some of the principal examples arise from rank one simple Lie groups over a non-archimidean local field acting on their Bruhat-Tits trees. In particular this leads to a powerful method for studying lattices in such Lie groups.

Full Product Details

Author:   Hyman Bass ,  Alex Lubotzky
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Volume:   v. 176
ISBN:  

9783764341206


ISBN 10:   3764341203
Pages:   232
Publication Date:   August 1999
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Replaced By:   9780817641207
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Lattices and volumes; graphs of groups, and edge-indexed graphs; tree lattices; arbitrary real volumes, cups, and homology; length functions, minimality; centralizers, normalizers, and commensurators; existence of tree lattices; non-uniform latices on uniform trees; parabolic actions, lattices, and trees. Appendix: the P Neumann groups; lattices of Nagao Type.

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