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<hr noshade size="5">
<h2><a name="AlffOrderMaximal"></a>
AlffOrderMaximal
</h2>

missing shortdoc

<p><p>

<h3>
Syntax:
</h3>
<pre>O := AlffOrderMaximal(o);</pre>

<p>

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

<p>


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

<p>

<h3>
Description:
</h3>
Returns the maximal overorder of a given order o of an algebraic
function field F/k(T). It is the integral closure of o
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> o := AlffOrderEqInfty(F);
Infinite equation order of 
Algebraic function field defined by
.1^3 + .2^4 + 1
over
Univariate rational function field over GF(5^2)
Variables: T

kash> AlffOrderMaximal(o);
> Infinite maximal order of 
Algebraic function field defined by
.1^3 + .2^4 + 1
over
Univariate rational function field over GF(5^2)
Variables: T
given by transformation matrix
[1/T   0   0]
[  0 1/T   0]
[  0   0   1]
with denominator 1/T

</pre>

<p>


<hr>

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