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

Returns the quotient of a group and a subgroup.

<p><p>

<h3>
Syntax:
</h3>
<pre>q := AbelianQuotientGroup(g, s);</pre>

<p>

<table>
<tr>
<td>groups</td>
<td><pre>  g, q  </pre></td>
<td></td>
</tr>
<tr>
<td>group</td>
<td><pre>  s  </pre></td>
<td>subgroup of g</td>
</tr>
</table>

<p>


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

<p>

<h3>
Description:
</h3>
Returns the quotient group q of the group g and its subgroup s.


<p><p>

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

<pre>

kash> g := AbelianGroupCreate([[0,1,2],[5,6,0],[0,4,5]]);
Group with relations:
[0 1 2]
[5 6 0]
[0 4 5]
kash> s := AbelianSubGroup(g, [3,3,3]);
Group with relations:
[5]
kash> q := AbelianQuotientGroup(g, s);
Group with relations:
[3 3 3]
[0 1 2]
[5 6 0]
[0 4 5]
kash> AbelianGroupSmithCreate(q);
> Group with relations:
[3]

</pre>

<p>


<hr>

<p>
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