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Ch. 1 Introduction 1
Ch. 2 General comments on references 5
Ch. 3 Examples of basic arithmetic groups 7
Ch. 4 General arithmetic subgroups and locally symmetric spaces 37
Ch. 5 Discrete subgroups of Lie groups and arithmeticity of lattices in Lie groups 57
Ch. 6 Different completions of Q and S-arithmetic groups over number fields 69
Ch. 7 Global fields and S-arithmetic groups over function fields 73
Ch. 8 Finiteness properties of arithmetic and S-arithmetic groups 75
Ch. 9 Symmetric spaces, Bruhat-Tits buildings and their arithmetic quotients 81
Ch. 10 Compactifications of locally symmetric spaces 87
Ch. 11 Rigidity of locally symmetric spaces 97
Ch. 12 Automorphic forms and automorphic representations for general arithmetic groups 115
Ch. 13 Cohomology of arithmetic groups 127
Ch. 14 K-groups of rings of integers and K-groups of group rings 135
Ch. 15 Locally homogeneous manifolds and period domains 139
Ch. 16 Non-cofinite discrete groups, geometrically finite groups 147
Ch. 17 Large scale geometry of discrete groups 151
Ch. 18 Tree lattices 165
Ch. 19 Hyperbolic groups 169
Ch. 20 Mapping class groups and outer automorphism groups of free groups 173
Ch. 21 Outer automorphism group of free groups and the outer spaces 179
References 183
Index 245
| Price | Condition | Delivery | Seller | Action |
| $99.99 | Digital |
| WonderClub |
Leigh Shepherd
reviewed Arithmetic Groups and Their Generalizations: What, Why, and How on December 13, 2014 Arithmetic Groups and Their Generalizations
This book is fun, but ultimately useless. You have to practise these tricks frequently in order to put them into long-term memory, and then when are you going to use them? Perhaps I should put that into the 1st person singular . . . I could learn these, and was having fun working through them all, but then thought about the likelihood of ever using them and decided that was about zero percent. I'm already good at simple mental arithmetic, good at estimating, and excellent with pen and paper, so for the limited amount of calculating that I need to do I have more than adequate skills already.
Still, a fun book for anyone who likes playing with numbers.
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Add Arithmetic Groups and Their Generalizations: What, Why, and How, In one guise or another, many mathematicians are familiar with certain arithmetic groups, such as $\mathbf{Z}$ or $\textrm{SL}(n,\mathbf{Z})$. Yet, many applications of arithmetic groups and many connections to other subjects within mathematics are less w, Arithmetic Groups and Their Generalizations: What, Why, and How to the inventory that you are selling on WonderClubX
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Add Arithmetic Groups and Their Generalizations: What, Why, and How, In one guise or another, many mathematicians are familiar with certain arithmetic groups, such as $\mathbf{Z}$ or $\textrm{SL}(n,\mathbf{Z})$. Yet, many applications of arithmetic groups and many connections to other subjects within mathematics are less w, Arithmetic Groups and Their Generalizations: What, Why, and How to your collection on WonderClub |
