[back] [prev] [next] [index] [root]

<p>&nbsp;<p>
<hr noshade size="5">
<h2><a name="RayClassGroupToAbelianGroup"></a>
RayClassGroupToAbelianGroup
</h2>

Returns the ray class group for a congruence module.

<p><p>

<h3>
Syntax:
</h3>
<pre>g := RayClassGroupToAbelianGroup(m0 [, minf] [, rels | expo]);</pre>

<p>

<table>
<tr>
<td>group</td>
<td><pre>  g  </pre></td>
<td></td>
</tr>
<tr>
<td>ideal</td>
<td><pre>  m0  </pre></td>
<td></td>
</tr>
<tr>
<td>list of integers</td>
<td><pre>  minf  </pre></td>
<td>infinite primes</td>
</tr>
<tr>
<td>matrix of integers</td>
<td><pre>  rels  </pre></td>
<td>gives additional relations for a quotient</td>
</tr>
<tr>
<td>integer</td>
<td><pre>  expo  </pre></td>
<td>equivalent to <tt> rels</tt> = <tt> expo*MatId</tt>.</td>
</tr>
</table>

<p>


See also:&nbsp;&nbsp;<a href="kashref.html#RayClassGroup">RayClassGroup</a>

<p>

<h3>
Description:
</h3>
Returns the ray class group for a congruence module
as an abstract group g.
For more information see \hyperlink{RayClassGroup}{<tt>RayClassGroup</tt>}.

<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>

<pre>

kash> o := OrderMaximal(x^2+6*x+2);
Generating polynomial: x^2 + 6*x + 2
Discriminant: 28 

kash> m0 :=Elt(o, [0,3])*o;
<[0, 3]>
kash> g := RayClassGroupToAbelianGroup(m0, [1,2]);
> RayClassGroupToAbelianGroup(<[0, 3]>, [ 1, 2 ])
Group with relations:
[2 0]
[0 2]

</pre>

<p>


<hr>

<p>
<a href="../kashref.html"><- back</a>[back] [prev] [next] [index] [root]