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

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

Creates an element of a group.

<p><p>

<h3>
Syntax:
</h3>
<pre>elt := AbelianGroupEltCreate(g, vector);</pre>

<p>

<table>
<tr>
<td>group element</td>
<td><pre>  elt  </pre></td>
<td></td>
</tr>
<tr>
<td>group</td>
<td><pre>  g  </pre></td>
<td></td>
</tr>
<tr>
<td>list or matrix with one row of integers</td>
<td><pre>  vector  </pre></td>
<td></td>
</tr>
</table>

<p>


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

<p>

<h3>
Description:
</h3>
Assume that g is generated by g_1, &hellip; ,g_r. Then
<tt>vector</tt> contains v_1,...,v_r \in Z and the element
<tt>elt</tt>\in g is generated as \prod|{i=1}^{r}g_i^{v_i}.
Only the exponent vector is stored.


<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>
Create an element in an abstract group: 
<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> elt := AbelianGroupEltCreate(g, [3,2,1]);
> [3 2 1]

</pre>

<p>


<hr>

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