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Does anyone know a good book about lattices (as subgroups of a vector space $V$)?

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In what context and for what purpose? –  Qiaochu Yuan Jun 30 '12 at 16:20
    
substantially an introduction to this interesting argument. –  Galoisfan Jun 30 '12 at 16:58
    
To what interesting argument? –  Qiaochu Yuan Jun 30 '12 at 18:38
    
The interesting argument is "Lattices" (I'm sorry for my unclear and stupid comment). I know that lattices are closely related to "solid geometry" and I'm courious. –  Galoisfan Jun 30 '12 at 19:21
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2 Answers

These notes of mine on geometry of numbers begin with a section on lattices in Euclidean space. However they are a work in progress and certainly not yet fully satisfactory. Of the references I myself have been consulting for this material, the one I have found most helpful with regard to basic material on lattices is C.L. Siegel's Lectures on the Geometry of Numbers.

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Check the following:

Roman,Steven: "Lattices and Ordered Sets", Springer

Blyth, T.S.: "Lattices and Ordered Algebraic Structures" , Springer

Roggenkamp, Klaus - Huber-Dyson, Verena : "Lattices over Orders" , Springer

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these are books about lattices in this sense: en.wikipedia.org/wiki/Lattice_(order) . I need a book about: en.wikipedia.org/wiki/Lattice_(group) –  Galoisfan Jul 4 '12 at 9:54
    
DonAntonio, perhaps you could move your answer to this question, which is about this kind of lattices. –  Martin Sleziak Aug 9 '12 at 8:34
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