He was selected by the Jacksonville Jaguars in the second round of the 2008 NFL draft and played college football at Auburn.

He was also a member of the Oakland Raiders, Arizona Cardinals, Cleveland Browns, Houston Texans, Tennessee Titans and the Buffalo Bills.

In 2006, Groves started all 13 games to help Auburn finish 11–2 including a key performance in the Tigers' 27–17 win over eventual BCS champion Florida.

With under three minutes left, he hurried a Leak pass attempt which was picked off by teammate Eric Brock to seal the win.

He was also named SEC Defensive Lineman of the Week for his play in the Auburn victory over cross-state rival Alabama.

[6] In the season opener versus Kansas State, Groves recorded two sacks of quarterback Josh Freeman one of which resulted in a fumble returned for a touchdown by team Antonio Coleman.

While Groves continued to be productive tackling, his quest for the Auburn career sack record stalled for several games.

In the Tigers' win over the Florida Gators in the Swamp, Groves foot was stepped on and he suffer three severely dislocated toes.

[8] Groves finishes as a member of the winningest Senior class in Auburn history, winning 50 games during their time on the Plains.

While undergoing medical tests at the NFL Combine, Groves was discovered to have Wolff–Parkinson–White syndrome, which results in him having a rapid heartbeat because of electrical impulses in the heart taking extra pathways.

[9] Groves told the media, "It's an extra circuit in the heart, and it speeds up your heartbeat, it's nothing too critical, but you have to take care of it.

On July 31, 2006, he eloped to marry Treska Baptiste, a member of Auburn's track team who hails from Trinidad,[21] just before the start of his junior year.