Class One. 10 Shvat 5712. After talking to the Bochurim about the organization ATA [Irgun Talmidei Hayeshivos], the Rebbe talks to women about the same concept. Introduction to the question of women and arvus (guarantor-ship for fellow Jews). Page 305-6.
Class Two. The question of women and Arvus. There are different levels: A. A Mitzva a woman must do and hasn’t done she can certainly do for her fellow as the Mitzva binds them, B. A Mitzva she must but has already done, her ability to do it for her fellow will depend on the opinions, C. A man can do a Mitzva for her (even if he’s already done it and) where she is biblical obligated, D. A Mitzva where woman’s obligation is only Rabbinic. The Ramban holds there’s no Arvus, with the exceptions listed (in part) above. Page 306-7.
Class Three. Conclusion: Whether women are or are not in Arvus, in this case there is an idea of Arvus towards one another for one reason or another. Page 307-8.