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

Generates a random element of an abelian group.

<p><p>

<h3>
Syntax:
</h3>
<pre>e := AbelianGroupEltRandom(G);</pre>

<p>

<table>
<tr>
<td>AbelianGroupElt</td>
<td><pre>  e  </pre></td>
<td></td>
</tr>
<tr>
<td>AbelianGroup</td>
<td><pre>  G  </pre></td>
<td></td>
</tr>
</table>

<p>


<h3>
Description:
</h3>
<i>no detailed description available yet</i>

<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>
We'll produce some representatives for random rays modulo 9 in Q(\sqrt {10}):
<pre>

kash> o := OrderMaximal(Z, 2, 10);
Generating polynomial: x^2 - 10
Discriminant: 40 

kash> G := RayClassGroupToAbelianGroup(9*o);
RayClassGroupToAbelianGroup(<9>, [  ])
Group with relations:
[2 0]
[0 3]
kash> for i in [1..10] do
> a := AbelianGroupEltRandom(G);
> Print(a, "\t", AbelianGroupDiscreteExp(a), "\n");
> od;
> [0 0]	<1>
[1 2]	<[15806, 6084], [30420, 7903]>
[0 1]	<[7, 6]>
[1 0]	<[14, 12], [60, 7]>
[1 1]	<[818, 168], [840, 409]>
[1 0]	<[14, 12], [60, 7]>
[0 0]	<1>
[0 0]	<1>
[0 1]	<[7, 6]>
[1 1]	<[818, 168], [840, 409]>

</pre>

<p>


<hr>

<p>
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