There exists a finite E-group of nilpotency class three, answering Caranti's question recorded as Kourovka Notebook Problem 11.46(a).
Caranti,A simple construction for a class ofp-groups with all of their automorphisms central, Rend
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A Finite E-Group of Nilpotency Class Three
There exists a finite E-group of nilpotency class three, answering Caranti's question recorded as Kourovka Notebook Problem 11.46(a).