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

Computes a maximal order of an algebraic function field.

<p><p>

<h3>
Syntax:
</h3>
<pre>o := AlffOrderMaxFinite(F);</pre>

<p>

<table>
<tr>
<td>algebraic function field order</td>
<td><pre>  o  </pre></td>
<td></td>
</tr>
<tr>
<td>algebraic function field</td>
<td><pre>  F  </pre></td>
<td></td>
</tr>
</table>

<p>


See also:&nbsp;&nbsp;<a href="kashref.html#AlffOrderMaxInfty">AlffOrderMaxInfty</a>, <a href="kashref.html#AlffOrderMaximal">AlffOrderMaximal</a>, <a href="kashref.html#Alff">Alff</a>, <a href="kashref.html#AlffElt">AlffElt</a>

<p>

<h3>
Description:
</h3>
Computes the k[T]-maximal order of an algebraic function field
F/k(T). It is the integral closure of k[T] in F.

<p><p>

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

<pre>

kash> AlffInit(FF(5,2));
"Defining global variables: k, w, kT, kTf, kTy, T, y, AlffGlobals"
kash> F := Alff(y^3+T^4+1);
Algebraic function field defined by
.1^3 + .2^4 + 1
over
Univariate rational function field over GF(5^2)
Variables: T

kash> AlffOrderMaxFinite(F);
> Finite maximal order of 
Algebraic function field defined by
.1^3 + .2^4 + 1
over
Univariate rational function field over GF(5^2)
Variables: T


</pre>

<p>


<hr>

<p>
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