Abstract
The absolute centre L(G) of a group G is the subgroup of all elements fixed by every automorphism of G, and an automorphism of G is autocentral if it acts trivially on the factor group G / L(G). Autocentral automorphisms have been introduced by Moghaddam and Safa (Ricerche Mat 59:257–264, 2010). The aim of this paper is to obtain new informations on the behaviour of autocentral automorphisms of a group. We also consider the relations between the group of autocentral automorphisms and that of class preserving automorphisms of a group.
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Communicated by Salvatore Rionero.
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de Giovanni, F., Moghaddam, M.R.R. & Rostamyari, M.A. A note on autocentral automorphisms of groups. Ricerche mat. 64, 339–344 (2015). https://doi.org/10.1007/s11587-015-0242-z
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DOI: https://doi.org/10.1007/s11587-015-0242-z