If elected, Ms. Abrams, 44, would become the first black female governor in the nation. In August 2017, after the violent white supremacist demonstrations in Charlottesville, Va., Ms. Abrams injected the issue of Confederate memorials into the governor’s race by calling for the removal of the giant Confederate carving on Stone Mountain, a granite outcropping east of Atlanta, noting, correctly, its ties to white supremacy and the revival of the Ku Klux Klan.

Mr. Kemp, who is white, has said that Georgians should not “attempt to rewrite” the past, and said he would protect the monument from “the radical left.”

Ms. Abrams’s campaign, in a statement Monday, said her actions in 1992 were part of a “permitted, peaceful protest against the Confederate emblem in the flag” and part of a movement that was ultimately successful in changing the flag.