Centralized processes in git

Hello,
     My company is looking at git to replace subversion as our scm.  
We have a small team of developers which need to publish to a  
centralized repository. One thing we would like is to have an  
automated bug fix merge ability. So if I make a bug fix to master we  
want that fix to be merged into other branches that we set. If there  
is a conflict we want that person  to be notified by email or some  
other way. I would like to know if anyone on the list has a good way  
to implement this?