Rendiconti del Seminario Matematico della Università di Padova


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Volume 135, 2016, pp. 251–258
DOI: 10.4171/RSMUP/135-14

Published online: 2016-05-19

A simple construction for a class of $p$-groups with all of their automorphisms central

Andrea Caranti[1]

(1) Università di Trento, Italy

We exhibit a simple construction, based on elementary linear algebra, for a class of examples of finite $p$-groups of nilpotence class 2 all of whose automorphisms are central.

Keywords: Finite $p$-groups, automorphisms, central automorphisms, endomorphisms

Caranti Andrea: A simple construction for a class of $p$-groups with all of their automorphisms central. Rend. Sem. Mat. Univ. Padova 135 (2016), 251-258. doi: 10.4171/RSMUP/135-14