There is more than one artist with this name:
1) Exodus is one of the first thrash metal bands to come out of the bay area, formed in 1980 in San Francisco, California, by Kirk Hammett, Tom Hunting, Paul Baloff, Jeff Andrews, and Gary Holt.
They were cited as major influence by pretty much every thrash band. Known for their aggressive brand of thrash, as opposed to the more melodic, NWOBHM rooted thrash sound of the likes of Metallica, and equally aggressive live shows. Read more on Last.fm