The case was filed to the Erfurt public prosecutor’s office on Friday and then made public on Monday.
Möller has denied the accusations, German media report. Thuringia’s AfD branch called the legal complaint “an abuse of the legal system.”
Stengele is one of the two Green leading candidates for the state election in September. Asked by POLITICO whether he expects a court ruling before the election, Stengele said he was not “expecting a quick decision, but I’m hoping for one.”
Höcke has repeatedly been fined for using Nazi slogans in violation of German law. In July, he had to pay nearly €17,000 for using phrases that Hitler’s SA storm troopers also used.
This is not the first negative headline the AfD has generated in the past months and years.
In May, Thuringia’s domestic intelligence agency also ruled that the AfD’s youth wing in the state is a “right-wing extremist organization.”
But the bad press doesn’t seem to be affecting the party’s chances at the ballot box in eastern Germany. Recent polls show that the AfD is on track to net about 28.6 percent of the vote in Thuringia and as much as 31 percent in Saxony — topping the conservative Christian Democratic Union (CDU) of Germany for first place in both states.