Fasces are not a Nazi symbol. They were very common in Fascist Italy—due to its association with Ancient Rome Mussolini was a big fan of—and the Fascists were culturally and ideologically allied with Nazi Germany. But AFAIK it was not a Nazi symbol.
But they're not a Fascist icon either, despite what your comment suggests. The fact that it appears on the Senate building probably refers to the Roman meaning. The point of TFA is pointing out that these symbols are NOT owned by the Fascists or Nazis but should instead be returned to their cultural origins.
But they're not a Fascist icon either, despite what your comment suggests. The fact that it appears on the Senate building probably refers to the Roman meaning. The point of TFA is pointing out that these symbols are NOT owned by the Fascists or Nazis but should instead be returned to their cultural origins.