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

This function returns the Galois group if it is already set in the
order or the algebraic function field. If the Galois group is not
set <tt> false</tt> will be returned.

<p><p>

<h3>
Syntax:
</h3>
<pre>b:= GaloisGroupKnown(K);</pre>

<p>

<table>
<tr>
<td>int or false</td>
<td><pre>  b  </pre></td>
<td></td>
</tr>
<tr>
<td>order or algebraic function field</td>
<td><pre>  K  </pre></td>
<td></td>
</tr>
</table>

<p>


See also:&nbsp;&nbsp;<a href="kashref.html#GaloisGlobals">GaloisGlobals</a>, <a href="kashref.html#GaloisGroupsPossible">GaloisGroupsPossible</a>, <a href="kashref.html#GaloisModulo">GaloisModulo</a>, <a href="kashref.html#GaloisTree">GaloisTree</a>, <a href="kashref.html#GaloisRoots">GaloisRoots</a>, <a href="kashref.html#GaloisNumberToName">GaloisNumberToName</a>, <a href="kashref.html#GaloisBlocks">GaloisBlocks</a>

<p>

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

<p><p>

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

<pre>

kash> o1 := Order(x^15 - 240*x + 224);
Generating polynomial: x^15 - 240*x + 224

kash> o2 := Order(x^15+2*x^9-2*x^6-x^3+2);
Generating polynomial: x^15 + 2*x^9 - 2*x^6 - x^3 + 2

kash> g := Galois(o1);
"A15"
kash> b := GaloisGroupKnown(o2);
false
kash> b := GaloisGroupKnown(o1);
> 103

</pre>

<p>


<hr>

<p>
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