With H-shem's help, we are learning Hilchot Tzitzit with the Ben Ish Chai, Hacham Yosef Hayyim of Baghdad. The sefer is translated by Shmuel Hiley and published by Yeshivath Ahavath Shalom Publications in Jerusalem 5765/2005. He calls the names of the Chapters by the names of Parashiot, so instead of Chapter One, the first chapter is called Parashath Bereshith, Laws of Ziziyoth. Please note these are for learning purposes only. For the halacha lemaaseh, i.e. for what to do yourself please ask your own Rav.
Parashath Noah, Laws of Ziziyoth, Page 11: We will IY"H break up this entry over several days.
1. The Halachah recognises three different categories of material from which a tallith may be made: wool; other fabrics; and admixtures of different materials.
All Authorities concur that a woolen tallith requires ziziyoth, mideOraitha. When one wears a woolen tallith with woolen ziziyoth, one fulfills the positive commandment of zizith according to all requirements.
This learning should be in memory of Maran, HaRav HaGaon Ovadia Yosef, ztz'l.