Abrams, who is in the midst of a tight race against President Donald Trump-backed Republican candidate Brian Kemp, would be the first black female governor in USA history.
The Georgia's governors race has been fraught with a race-laden debate over ballot access and voter suppression. Amid the furor over the purported hacking, Kemp announced Monday that the state had not only broken its 2014 record, but has set a new, all-time record for early voting in a midterm election.
Abrams' opponent Brian Kemp denounced the robo-calls as "vile".
An attorney who represents election-security advocates already suing Kemp over his job performance said a private citizen alerted him Friday to a suspected major flaw in the voter database that is used to check in voters in Tuesday's midterm.
In the event that national polls are correct and blue wave does come to fruition, look for more Republicans to follow Kemp's lead and suddenly worry about election hacking.
The FBI declined to comment.
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The Democratic Party of Georgia called the allegation "100 percent false" and "an abuse of power" by Kemp's office.
Kemp's latest allegations were met with scepticism from cybersecurity experts, who noted that identifying who is behind a particular hack was time-consuming and extremely hard.
Kemp, a 54-year-old businessman and veteran secretary of state is vying to maintain the GOP's hold on a state that is nearing presidential battleground status courtesy of its growth and diversity. Alex Stamos, Facebook's former security chief, asked on Twitter.
President Donald Trump has rallied in the state on behalf of Kemp, while former President Barack Obama and Oprah Winfrey have made appearances on behalf of Abrams. "You suddenly open an investigation without giving any sort of details about what happened?"
The plaintiffs also point to the purging of hundreds of thousands of voters from the rolls, and tens of thousands of unprocessed voter registrations - the vast majority holding up African American registrations - as other examples of Kemp using the powers of his office to tailor an electorate to his liking.
In Snellville, Georgia, voters took turns sitting in children's chairs as they waited for hours, according to the Associated Press, and in Atlanta, people waited in the rain in a line at one site that snaked around the building. That total is almost twice the number purged between 2008 and 2012, the group said in a report.
The suit included allegations that the voter registration system was discriminatory, citing the cancellation of around 34,000 people's registration status between 2010 and 2013. Kemp counters that he's following state and federal law and that it's Abrams and her affiliated voting advocacy groups trying to help people, including noncitizens, cast ballots illegally.