Green confirmed Thursday that one officer, while trying to get Thomas into the back of a patrol car, threatened to kick her in the genitals if she did not comply, and then followed through on the threat. The officer also used crude language about Thomas' weight to get her into the car, Green added.
The coroner's office has deferred findings on the cause of Thomas' death until toxicology tests are completed, a routine practice in such cases.
On Friday, Thomas' family demanded answers.
Her aunt, Eileen Ribera Arthur, said she was too distraught to speak in detail to a reporter Friday afternoon.
"They killed my niece!" she told a friend who drove down the street outside her home. "They stomped her .... the police killed her."
Arthur said she wasn't sure whether the family had hired an attorney, but she made reference to meetings with representatives of the Rev. Al Sharpton.
"The bottom line is, Alesia was a good person, a beautiful person," Arthur added. "I just want her back, I really do."
Beck said Friday he's pleased with the way the LAPD has handled the investigations so far.
In the Thomas case, he noted that the in-car police video that captured the incident will be the key piece of evidence in the investigation.
In the Valley case involving the nurse, Beck announced Wednesday that a captain of the Foothill division was being transferred from his command because of what the chief called his "severely deficient" response to the incident. The two officers were also pulled from the field.
Police Commissioner Andrea Ordin said it's important not to jump to conclusions until all the facts are in, a point also made by the police union.
"This is a rush to placate the media and people's desire for a statement," Police Protective League President Tyler Izen said. "It is the chief's job not only to not ignore allegations but not prejudge allegations."
Times staff writer Ruben Vives contributed to this report.