2004 As a
redshirt freshman, Groves was used part-time in the rotation at defensive end as a rushing/sack specialist. During the
Kentucky game, he recorded six total tackles and four sacks to tie the Auburn single-game individual sack record. He also forced two Kentucky fumbles inside their own 20-yard line, one of which was returned for a touchdown. He had four tackles and a quarterback hurry that caused an interception in Auburn's win over
Tennessee in
Neyland Stadium. Groves finished the season tied for third in the SEC and tied for the team lead with 7.5 sacks. He also tied for the team lead with 10 tackles for loss for the season. Those efforts earned him recognition on the
Sporting News Freshman All-American First-Team, All-SEC Freshman First-Team, Rivals.com Freshman All-America First-Team and the
FWAA Freshman All-America Team.
2005 Groves played in all 12 games in the 2005 season, starting in three. He finished the season with 21 tackles (8 solo 13 assists) eight tackles for loss and six sacks (third on the team).
2006 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. Groves sacked
Chris Leak three times in the third quarter and forced a fumble in the fourth quarter at Auburn's own six-yard line to stop a Gator scoring opportunity. With under three minutes left, he hurried a Leak pass attempt which was picked off by teammate Eric Brock to seal the win. For his efforts against Florida, Groves was named the
FWAA/Bronko Nagurski National Defensive Player of the Week as well as the SEC's Defensive Player of the Week. He was also named SEC Defensive Lineman of the Week for his play in the Auburn victory over cross-state rival
Alabama. Groves finished the season with 9.5 sacks to lead the team, as well as 12 tackles for loss, 37 total tackles (24 solo) and three forced fumbles. The performance earned him Coaches and
Associated Press All-SEC First Team honors as well as a place on the Rivals.com All-American Third-Team. In June 2007, he was named to both the Bronko Nagurski Trophy and Chuck Bednarik Award watchlists. In early July, he was also named to the Ted Hendricks Defensive End of the Year watchlist. Just prior to the season, Sports Illustrated ranked him at #9 in their list of the SEC's Top 10 Players. Groves entered the 2007 season with 23 career sacks, only three behind the Auburn school record held by Gerald Robinson since 1985. 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. The injury sidelined him for the
Vanderbilt and
Arkansas games, but Groves returned in limited duty against
LSU where he recorded a sack of
Matt Flynn to tie the career record. Following the regular season, Groves was honored as a Coaches All-SEC First Team selection. Groves finishes as a member of the winningest Senior class in Auburn history, winning 50 games during their time on the Plains. ==Professional career==