So the paper builds the case that a covert company of marksmen were deployed in building around Maidan Square and, under the direction of the far-right elements of the conflict, killed cops and protestors in order to prevent any peace agreement from being possible.

I am not terribly well versed in all things Ukraine, so if someone else can help me understand something in the paper I would be grateful.

The paper refers to Maidan-controlled companies. I thought Maidan was the name of the square. In the context of the paper, what does it mean for something to be controlled by Maidan?