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The word exterminate occurs logically in Adolf Hitler’s book “My fight”. 
Mr. Hitler claims that the Jews want to exterminate the intelligentsia.
(I don’t think Hitler meant the Jews would want to kill all intelligent people.)

In the book also states that Germanness was exterminated in the Habsburg monarchy.
(I have never heard of German people being killed in the Habsburg Monarchy.)

exterminate, herd, gangs up, gang leader, the group = today unfortunately often an outdated expression

However, in GDR times the word jointlyherd was still in the newspapers of the GDR.
In GDR times, for example, there were illegal gatherings of „civil rights activists“,  they meet for an unauthorized demonstration.

The rot leader (Rottenführer = teamleader) does not lead his team to death, but from
A to B.
(instead of teamleader one could also say group leader)

The fallen tree, which be recumbend in the forest and rots away, decomposes by itself to humus.