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	<updated>2026-08-21T01:46:23Z</updated>
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		<title>Racket features</title>
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		<summary type="html">&lt;p&gt;74.212.183.186: /* Logic Programming */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;In [[number theory]], a &#039;&#039;&#039;norm group&#039;&#039;&#039; is a group of the form &amp;lt;math&amp;gt;N_{L/K}(L^\times)&amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt;L/K&amp;lt;/math&amp;gt; is a finite abelian extension of nonarchimedean [[local field]]s. One of the main theorems in [[local class field theory]] states that the norm groups in &amp;lt;math&amp;gt;K^\times&amp;lt;/math&amp;gt; are precisely the open subgroups of &amp;lt;math&amp;gt;K^\times&amp;lt;/math&amp;gt; of ﬁnite index.&lt;br /&gt;
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== See also ==&lt;br /&gt;
*[[Takagi existence theorem]]&lt;br /&gt;
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== References ==&lt;br /&gt;
*J.S. Milne, &#039;&#039;Class field theory.&#039;&#039; Version 4.01.&lt;br /&gt;
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{{numtheory-stub}}&lt;br /&gt;
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[[Category:Number theory]]&lt;/div&gt;</summary>
		<author><name>74.212.183.186</name></author>
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