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

Return the residue field of a place.

<p><p>

<h3>
Syntax:
</h3>
<pre>K := AlffPlaceResField(P);</pre>

<p>

<table>
<tr>
<td>field</td>
<td><pre>  K  </pre></td>
<td>residue field of P</td>
</tr>
<tr>
<td>alff place </td>
<td><pre>  P  </pre></td>
<td></td>
</tr>
</table>

<p>


See also:&nbsp;&nbsp;<a href="kashref.html#AlffResFieldEltLift">AlffResFieldEltLift</a>, <a href="kashref.html#AlffELtToResField">AlffELtToResField</a>, <a href="kashref.html#AlffEltValuation">AlffEltValuation</a>

<p>

<h3>
Description:
</h3>
Let F/k be an algebraic function field and P be a place
of F/k. If o_P is the ring of algebraic functions defined
at P then k(P) := o_P / P is the residue class field
of P. It is returned by this function.

<p><p>

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

<pre>

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

kash> P := AlffPlaceSplit(F, T+1)[1];
Alff place < [ T + 1, 0, 0 ], [ w, 1, 0 ] >
kash> f := AlffPlaceResField(P);
> Finite field of size 2^3

</pre>

<p>


<hr>

<p>
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