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Algebraic number theory
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===Finiteness of the class group=== One of the classical results in algebraic number theory is that the ideal class group of an algebraic number field ''K'' is finite. This is a consequence of [[Minkowski's bound|Minkowski's theorem]] since there are only finitely many [[Integral ideal]]s with norm less than a fixed positive integer<ref>{{Cite web|title=A Computational Introduction to Algebraic Number Theory|url=https://wstein.org/books/ant/ant.pdf|last=Stein}}</ref> <sup>page 78</sup>. The order of the class group is called the [[Class number (number theory)|class number]], and is often denoted by the letter ''h''.
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