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We exhibit a simple construction, based on elementary linear algebra, for a class of examples of finite -groups of nilpotence class 2 all of whose automorphisms are central.
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Andrea Caranti, A simple construction for a class of -groups with all of their automorphisms central. Rend. Sem. Mat. Univ. Padova 135 (2016), pp. 251–258DOI 10.4171/RSMUP/135-14