Automatically Joined Public Group? Women Only, Men Only..

[testing2]

I was wondering if it is possible to have members sorted into a category depending on what their gender is. For example, I'm trying to have a public group only joined by women, and another public group only joined by men. I'm also wondering if this can be done automatically.

To make my questions more clear:

Is it possible to:

1) Set some rule for joining a public group? (e.g. gender, location, etc..)

3) Automatically add all members who pass this rule?

I'm currently running 3.5.0, if that makes a difference..

Thank you.