The Kazon were one of the first Delta Quadrant species that Voyager encountered on its arrival in the area.  They are a violent race who consider themselves to be great warriors.  The Kazon were originally a slave species of the Trabe, but they overthrew their masters in a revolt some time ago.  They have a relatively disorganized culture - after overthrowing the Trabe they splintered into several sects who have competed with one another ever since. Some of the sects are extremely weak, lacking the ability to provide even the basics of life properly. Others operate fleets of warships which they 'liberated' from the Trabe;  although some of these are large and powerful, 
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the Kazon are not great technicians and their ships tend to be relatively poorly maintained. Kazon sects which Voyager encountered include the Ogla,  Nistrim,  Relora,  Hobii, Mostral, Oglamar  and Prommar 
. Many of them were bitter enemies of the Federation ship - a result of Janeway's decision to destroy the Caretakers Array in order to deny them access to its technology.  Voyager fought several battles with the Kazon, and in 2372 they managed to capture the ship with the help of the Cardassian spy Seska. Fortunately, an alliance of Talaxian ships and several members of Voyagers crew were able to defeat the invaders and recapture the ship.  Shortly after this Voyager passed out of Kazon space. Given the distance the ship has covered since then, it is virtually impossible that the crew will ever encounter this race again.  The Borg designation for the Kazon is Species 329; the Borg considered them unworthy of assimilation.