There are multiple artists with this name:

1) Alligator is an indie rock duo from Lyon, France, formed in 2011 by Elizabeth Hargrett (bass, vocals) and Lisa Duroux (drums, vocals).

2) Alligator is a thrash metal band from Vigevano, Italy, founded in 1988. The band, heavily influenced by the Bay Area thrash, debuted in 1990 with the demo "Bog of Horrors". They have released 3 studio albums and disbanded after their last release in 1996.

3) Alligator is a nitzhonot DJ from Israel.

4) Alligator is a thrash metal & groove metal metal band from Sevastopol Read more on Last.fm. User-contributed text is available under the Creative Commons By-SA License; additional terms may apply.