Story highlights Anthony Alexander Padgett was arrested Thursday morning

Two victims were set on fire, two others beaten, police say

(CNN) San Diego police on Thursday morning arrested a 36-year-old man in connection with a series of attacks on the California city's homeless population, police announced.

Anthony Alexander Padgett was taken into custody in Chula Vista, just south of San Diego, Capt. David Nisleit told reporters.

Nisleit said police had probable cause for the arrest but didn't offer specifics. He said the investigation is ongoing and indicated tips from the public led to Padgett's arrest.

Authorities have not determined whether Padgett is their only suspect.

Two homeless men have been killed -- one set on fire, the other beaten to death -- and two others were hospitalized with serious injuries, one who was beaten and the other set afire.

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