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

Returns the index of a subgroup in a group.

<p><p>

<h3>
Syntax:
</h3>
<pre>a := AbelianGroupIndex(g, s);</pre>

<p>

<table>
<tr>
<td>group</td>
<td><pre>  g  </pre></td>
<td></td>
</tr>
<tr>
<td>group</td>
<td><pre>  s  </pre></td>
<td>subgroup of g</td>
</tr>
<tr>
<td>integer</td>
<td><pre>  a  </pre></td>
<td></td>
</tr>
</table>

<p>


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

<p>

<h3>
Description:
</h3>
Returns the index a of s in g.
s has to be a subgroup of g.


<p><p>

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

<pre>

kash> g := AbelianGroupCreate([[0]]);
Group with relations:
[0]
kash> bas := AbelianGroupBasis(g);
[ [1] ]
kash> s := AbelianSubGroup(g, 2*bas[1]);
Group with relations:
[0]
kash> a := AbelianGroupIndex(g, s);
> 2

</pre>

<p>


<hr>

<p>
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