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KNX radio reports one man apparently broke his arm during a fight with a demonstrator during the Sunday afternoon event outside the Westwood federal building.
The rally attracted more than 1,000 pro-Israel supporters amid renewed fighting in the Gaza Strip, where Israel is retaliating for Hamas rocket attacks.
After the event began, a group of about 250 Palestinian supporters began demonstrating on the opposite side of Wilshire Boulevard.
It triggered a Los Angeles Police Department tactical alert that drew police officers, sheriff's deputies and the California Highway Patrol officers who formed skirmish lines until the demonstrators eventually left.