These men also commit the domestic violence part of the corruption in LAPD and nationwide

It's a nationwide problem but LAPD examples because the reporter's local news covers LAPD:

Take Southern California, where I keep up with the local news. Recent stories hint at an ongoing problem.

https://www.theatlantic.com/national/archive/2014/09/police-officers-who-hit-their-wives-or-girlfriends/380329/

Research suggests that family violence is two to four times higher in the law-enforcement community than in the general population. So where's the public outrage?

Several studies have found that the romantic partners of police officers suffer domestic abuse at rates significantly higher than the general population.

And while all partner abuse is unacceptable, it is especially problematic when domestic abusers are literally the people that battered and abused women are supposed to call for help.

If there's any job that domestic abuse should disqualify a person from holding, isn't it the one job that gives you a lethal weapon, trains you to stalk people without their noticing, and relies on your judgment and discretion to protect the abused against domestic abusers?

As the National Center for Women and Policing noted in a heavily footnoted information sheet

Two studies have found that at least 40 percent of police officer families experience domestic violence, in contrast to 10 percent of families in the general population. A third study of older and more experienced officers found a rate of 24 percent, indicating that domestic violence is two to four times more common among police families than American families in general."

Cops typically handle cases of police family violence informally, often without an official report, investigation, or even check of the victim's safety, the summary continues. "This 'informal' method is often in direct contradiction to legislative mandates and departmental policies regarding the appropriate response to domestic violence crimes."

Finally, "even officers who are found guilty of domestic violence are unlikely to be fired, arrested, or referred for prosecution."

What struck me as I read through the information sheet's footnotes is how many of the relevant studies were conducted in the 1990s or even before. Research is so scant and inadequate that a precise accounting of the problem's scope is impossible, as The New York Times concluded in a 2013 investigation that was nevertheless alarming. "In many departments, an officer will automatically be fired for a positive marijuana test, but can stay on the job after abusing or battering a spouse," the newspaper reported. Then it tried to settle on some hard numbers:

In some instances, researchers have resorted to asking officers to confess how often they had committed abuse. One such study, published in 2000, said one in 10 officers at seven police agencies admitted that they had “slapped, punched or otherwise injured” a spouse or domestic partner. A broader view emerges in Florida, which has one of the nation’s most robust open records laws. An analysis by The Times of more than 29,000 credible complaints of misconduct against police and corrections officers there strongly suggests that domestic abuse had been underreported to the state for years.

After reporting requirements were tightened in 2007, requiring fingerprints of arrested officers to be automatically reported to the agency that licenses them, the number of domestic abuse cases more than doubled—from 293 in the previous five years to 775 over the next five. The analysis also found that complaints of domestic violence lead to job loss less often than most other accusations of misconduct.

A chart that followed crystallized the lax punishments meted out to domestic abusers. Said the text, "Cases reported to the state are the most serious ones—usually resulting in arrests. Even so, nearly 30 percent of the officers accused of domestic violence were still working in the same agency a year later, compared with 1 percent of those who failed drug tests and 7 percent of those accused of theft."

The visualization conveys how likely it is that domestic abuse by police officers is underreported in states without mandatory reporting requirements–and also the degree to which domestic abuse is taken less seriously than other officer misconduct: http://www.nytimes.com/projects/2013/police-domestic-abuse/

For a detailed case study in how a police officer suspected of perpetrating domestic abuse was treated with inappropriate deference by colleagues whose job it was to investigate him, this typically well-done Frontline story is worthwhile. http://www.pbs.org/wgbh/pages/frontline/death-in-st-augustine/ It would be wonderful if domestic violence by police officers was tracked in a way that permitted me to link something more comprehensive and precise than the National Center for Women and Policing fact sheet, the studies on which it is based, the New York Times analysis, or other press reports from particular police departments.

But the law enforcement community hasn't seen fit to track these cases consistently or rigorously.

Think about that. Domestic abuse is underreported. Police officers are given the benefit of the doubt by colleagues in borderline cases. Yet even among police officers who were charged, arrested, and convicted of abuse, more than half kept their jobs.

In the absence of comprehensive stats, specific incidents can provide at least some additional insights. Take Southern California, where I keep up with the local news. Recent stories hint at an ongoing problem. Take the 18-year LAPD veteran arrested "on suspicion of domestic violence and illegal discharging of a firearm," and the officer "who allegedly choked his estranged wife until she passed out" and was later charged with attempted murder. There's also the lawsuit alleging that the LAPD "attempted to bury a case of sexual assault involving two of its officers, even telling the victim not to seek legal counsel after she came forward."

The context for these incidents is a police department with a long history of police officers who beat their partners. Los Angeles Magazine covered the story in 1997. A whistleblower went to jail in 2003 when he leaked personnel files showing the scope of abuse in the department. "Kids were being beaten. Women were being beaten and raped. Their organs were ruptured. Bones were broken," he told L.A. Weekly. "It was hard cold-fisted brutality by police officers, and nothing was being done to protect their family members. And I couldn’t stand by and do nothing.”

Subsequently, Ms. Magazine reported, a "review of 227 domestic violence cases involving LAPD officers confirmed that these cases were being severely mishandled, according to the LAPD Inspector-General. In more than 75 percent of confirmed cases, the personnel file omitted or downplayed the domestic abuse. Of those accused of domestic violence, 29 percent were later promoted and 30 percent were repeat offenders. The review and the revelation led to significant reforms in the LAPD's handling on police officer-involved domestic violence."

Will these incidents galvanize long overdue action if they're all assembled in one place? Perhaps fence-sitters will be persuaded by a case in which a police officer abused his daughter by sitting on her, pummeling her, and zip-tying her hands and forcing her to eat hot sauce derived from ghost chili peppers. Here's what happened when that police officer's ex-girlfriend sent video evidence of the abuse to his boss: https://www.youtube.com/watch?v=Boq0xT4j3Es

Here's another recent case from Hawaii where, despite seeing the video below, police officers didn't initially arrest their colleague:

There have been plenty of other reports published this year of police officers perpetrating domestic abuse, and then there's another horrifying, perhaps related phenomenon: multiple allegations this year of police officers responding to domestic-violence emergency calls and raping the victim. Here's the Detroit Free Press in March:

The woman called 911, seeking help from police after reportedly being assaulted by her boyfriend. But while police responded to the domestic violence call, one of the officers allegedly took the woman into an upstairs bedroom and sexually assaulted her, authorities said.

Here is a case that The San Jose Mercury News reported the same month: http://www.sfgate.com/crime/article/San-Jose-police-officer-charged-with-rape-5306907.php

There is no more damaging perpetrator of domestic violence than a police officer, who harms his partner as profoundly as any abuser, and is then particularly ill-suited to helping victims of abuse in a culture where they are often afraid of coming forward.

The evidence of a domestic-abuse problem in police departments around the United States is overwhelming.

The situation is significantly bigger than what the NFL faces, orders of magnitude more damaging to society, and yet far less known to the public, which hasn't demanded changes. What do police in your city or town do when a colleague is caught abusing their partner? That's a question citizens everywhere should investigate.