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Arithmetic groups and their generalizations : what, why, and how

Author: Lizhen Ji
Publisher: Providence, R.I. : American Mathematical Society ; [Somerville, MA] : International Press, ©2008.
Series: AMS/IP studies in advanced mathematics, v. 43.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

In one guise or another, mathematicians are familiar with certain arithmetic groups, such as $\mathbf{Z}$ or $\textrm{SL}(n,\mathbf{Z})$. This work aims to explain what arithmetic groups and their  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Lizhen Ji
ISBN: 9780821846759 0821846752 9780821848661 0821848666
OCLC Number: 212909009
Description: xvii, 259 pages : illustrations ; 27 cm.
Contents: Examples of basic arithmetic groups --
General arithmetic subgroups and locally symmetric spaces --
Discrete subgroups of Lie groups and arithmeticity of lattices in Lie groups --
Different completions of Q and S-arithmetic groups over number fields --
Global fields and S-arithmetic groups over function fields --
Finiteness properties of arithmetic and S-arithmetic groups --
Symmetric spaces, Bruhat-Tits buildings and their arithmetic quotients --
Compactifications of locally symmetric spaces --
Rigidity of locally symmetric spaces --
Automorphic forms and automorphic representations for general arithmetic groups --
Cohomology of arithmetic groups --
K-groups of rings of integers and K-groups of group rings --
Locally homogeneous manifolds and period domains --
Non-cofinite discrete groups, geometrically finite groups --
Large scale geometry of discrete groups --
Tree lattices --
Hyperbolic groups --
Mapping class groups and outer automorphism groups of free groups --
Outer automorphism of free groups and the outer spaces.
Series Title: AMS/IP studies in advanced mathematics, v. 43.
Responsibility: Lizhen Ji.

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