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JP Journal of Algebra, Number Theory and Applications

JP Journal of Algebra, Number Theory and Applications
Volume 13, Issue 1, Pages 1 - 5 (February 2009)

FINITENESS OF THE CLASS GROUP OF A NUMBER FIELD VIA LATTICE PACKINGS

J. Carmelo Interlando (USA), Trajano Pires Da Nó¢²¥ga Neto (Brazil) and José –alter Lopes Nunes (Brazil)

Abstract:

An alternative proof of the finiteness of the class group of a number field of degree n is presented. It is based solely on the fact that the center density of an n-dimensional lattice packing is bounded away from infinity.

Keywords and phrases:

number fields, class groups, geometry of numbers.

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