San Mateo police arrested a San Francisco man they say attempted to abduct a 9-year-old girl from an elementary school Friday.

Bradley Mrozek, 25, was arrested Saturday morning after police linked him to the incident at Parkside Elementary School and to two prior incidents at Horrall Elementary and Bayside STEM Academy, San Mateo police Sgt. Dave Norris  said Sunday.

Police believe Mrozek assaulted the girl at Parkside shortly before 2:45 p.m. Friday and transported her a short distance away from the school in an attempt to isolate her, Norris said.

The girl was able to escape by kicking her attacker and running back to the school, where she reported the incident.

The attack was quickly linked to two other incidents Friday, in which a stranger was escorted away from Horrall and reported offering alcohol to students at Bayside STEM Academy.

Mrozek was booked into San Mateo County Jail on suspicion of kidnapping with intent to commit a sexual assault, assault with intent to commit a sex crime on a minor and lewd and lascivious acts with a child under the age of 14, Norris said.