I am building a Flash site and I want to be able to allow the user to post dynamically produced information to their Facebook wall, but I can't find out any information within the Facebook developers documentation.

Its simple enough in Javascript/HTML:

<script type="text/javascript">
 function callPublish(msg, attachment, action_link) {
 FB.ensureInit(function () {
 FB.Connect.streamPublish('', attachment, action_link);
 });
}
</script>
<input type="button" onclick="callPublish('',{'name':'Post this to Facebook','href':'http://dev2.com','description':'this is some body test'},null);return false;" value="Preview Dialog" />

As you can see I don't want to create sessions or login or anything complicated, just post to info to their wall.