Check nearby libraries
Buy this book
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-archimedean local field acting on their Bruhat—Tits trees. In particular this leads to a powerful method for studying lattices in such Lie groups. This monograph extends this approach to the more general investigation of X-lattices G, where X-is a locally finite tree and G is a discrete group of automorphisms of X of finite covolume. These "tree lattices" are the main object of study. Special attention is given to both parallels and contrasts with the case of Lie groups. Beyond the Lie group connection, the theory has application to combinatorics and number theory. The authors present a coherent survey of the results on uniform tree lattices, and a (previously unpublished) development of the theory of non-uniform tree lattices, including some fundamental and recently proved existence theorems. Non-uniform tree lattices are much more complicated than uniform ones; thus a good deal of attention is given to the construction and study of diverse examples. The fundamental technique is the encoding of tree action in terms of the corresponding quotient "graphs of groups." Tree Lattices should be a helpful resource to researcher sin the field, and may also be used for a graduate course on geometric methods in group theory.
Check nearby libraries
Buy this book
Previews available in: English
Showing 4 featured editions. View all 4 editions?
Edition | Availability |
---|---|
1 |
zzzz
Libraries near you:
WorldCat
|
2 |
zzzz
Libraries near you:
WorldCat
|
3 |
zzzz
Libraries near you:
WorldCat
|
4
Tree Lattices (Progress in Mathematics)
November 17, 2000, Birkhäuser Boston
Hardcover
in English
- 1 edition
0817641203 9780817641207
|
aaaa
Libraries near you:
WorldCat
|
Book Details
Classifications
The Physical Object
ID Numbers
Community Reviews (0)
Feedback?History
- Created April 29, 2008
- 14 revisions
Wikipedia citation
×CloseCopy and paste this code into your Wikipedia page. Need help?
July 15, 2024 | Edited by MARC Bot | import existing book |
February 26, 2022 | Edited by ImportBot | import existing book |
August 20, 2021 | Edited by MARC Bot | import existing book |
August 3, 2020 | Edited by MARC Bot | add LCCN |
April 29, 2008 | Created by an anonymous user | Imported from amazon.com record |