Mr. Kemp holds a lead of about 60,000 votes over Ms. Kemp - and is some 17,000 votes above the 50 percent threshold needed to avoid a runoff.
"Let's be clear: This is not a speech of concession because concession means to acknowledge an action is right, true or proper", Abrams said amid a blistering attack on Kemp's record as the state's chief elections regulator and on the balloting process in Georgia.
Stacey Abrams' campaign is preparing an unprecedented legal challenge in the unresolved Georgia governor's race that could leave the state's Supreme Court deciding whether to force another round of voting.
Abrams' political future is less certain. The Kemp lead Abrams50/48, and that never really was chipped away in the days after Election Day.
Meanwhile, US District Judge Steve Jones on Wednesday ruled that the secretary of state must not certify the state election results without confirming that each county's vote tally includes absentee ballots on which the voter's date of birth is missing or incorrect. Under Georgia election law, a losing candidate can challenge the result of an election based on "misconduct, fraud or irregularities ... sufficient to change or place in doubt the results".
Georgia Democratic gubernatorial candidate Stacey Abrams is considering asking a court to intervene in her race against Republican Brian Kemp and order an extraordinary second round of voting in response to charges of election irregularities.
In Florida, volunteers are conducting a legally required hand recount of votes in that state's acrimonious senatorial contest.
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Kemp called the election over in a statement Friday. The election is over and Brian Kemp is the Governor-elect.
"We can no longer dwell on the divisive politics of the past but must focus on Georgia's bright and promising future", he said. "Stacey Abrams's latest publicity stunt is sad and desperate".
Kemp was caught on tape during a ticketed "Georgia Professionals for Kemp" event saying that Abrams's voter outreach effort "continues to concern us, especially if everybody uses and exercises their right to vote", according to Rolling Stone. She continued that while many of her critics would criticize her for recapping the wrongs she believed were done during the election, Abrams said, "stoicism is a luxury, and silence is a weapon". Voters were denied a ballot and turned away from the polls because they hadn't voted in the last three years and/or the last two federal elections, and Kemp's office had purged hundreds of thousands of people from the rolls for "inactivity". A judge could declare a victor, order a later runoff, or, in the most extreme situation, declare the entire election invalid and instruct the state to hold another. The lawsuits also have revealed a lack of uniformity in how counties address problems with absentee and provisional ballots. To comply with orders by U.S. District Judges Jones and May, all counties were required to count absentee by mail ballots where those ballots were previously rejected exclusively due to missing or inaccurate dates of birth.
Kemp resigned as the state's secretary of state last week and started the process of transitioning into his new office, declaring himself the victor. Other prominent Democrats made similar claims this week, including Hillary Clinton and Democratic Sens.
The speech Abrams delivered at her campaign headquarters Friday evening marked the close of the 44-year-old attorney and former lawmaker's unsuccessful attempt to make history as America's first black woman governor.
All of that is playing out against the backdrop of Kemp's unabashed embrace of President Donald Trump's nationalism.