According to the complaint, Nelson told police he did not remember kicking Kolstad in the head.
The complaint said Kolstad's injuries include bleeding of brain, a skull fracture and brain shifting. Preliminary information shows the fracture is on the left side of Kolstad's head, where he was kicked.
Nelson was a top recruit when he came out of Mankato West as the state's Mr. Football in 2011, and spent much of his first two seasons as the Gophers' starter. He played in 11 games last season, but announced afterward that he would transfer to Rutgers and what he said was a more pass-friendly offense. He threw for 1,306 yards, nine touchdowns and six interceptions last season and ran for 364 yards.
Nelson would have had two seasons of eligibility left after sitting out next season.
Kolstad played at Mankato East and spent two seasons at North Dakota State before finishing his career at Minnesota State, Mankato.
Rutgers did not comment beyond the statement from Flood.
"The Rutgers football family's thoughts and prayers are with Isaac Kolstad and his family," the coach said in announcing Nelson's dismissal.