[TYPO3] realURL, HTTPS and links to sub-pages

[Pieter]

Hello,

I got HTTPS and realURL working (I thought) with the help from this 
newsgroup but now I discovered a new problem.  A link to a level-2 HTTPS 
page does not work from a non-HTTPS part of the site.
Example: a link to the HTTPS page www.mysite.com/members/register does 
not work from a non-HTTPS part of the site. The result in the browser is:
HTTPS://www.mysite.com/register
instead of
HTTPS://www.mysite.com/members/register

I noticed there is no / at the end (and appendMissingSlash is present in 
my source).

A link to the HTTPS page www.mysite.com/members is not a problem.

My realURL config looks like this (the appendMissingSlash was important 
to get it working):
$TYPO3_CONF_VARS['EXTCONF']['realurl']['_DEFAULT'] = array(
     'init' => array(
         'enableCHashCache' => 1,
	'appendMissingSlash' => 'ifNotFile',
     ),																				
     'preVars' => array(
         array(
             'GETvar' => 'no_cache',
             'valueMap' => array(
                 'no_cache' => 1,
             ),
             'noMatch' => 'bypass',
         ),
         array(
             'GETvar' => 'L',
             'valueMap' => array(
                 'nl' => '0',
                 'en' => '1',
                 'fr' => '2',
                 'de' => '3',
             ),
             'noMatch' => 'bypass',	
         ),
     ),


Any idea's?

Kind regards,
Pieter