On groups of finite Prüfer rank II

  • Bertram A. F. Wehrfritz

    Queen Mary University of London, UK
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Abstract

Let be a group of finite (Prüfer) rank and any finite set of primes. We prove, in particular, that contains a characteristic subgroup of finite index such that for every normal subgroup of of finite index the maximal normal -subgroup of lies in the hypercentre of , so in particular all finite -images of are nilpotent.

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Bertram A. F. Wehrfritz, On groups of finite Prüfer rank II. Rend. Sem. Mat. Univ. Padova 153 (2025), pp. 173–177

DOI 10.4171/RSMUP/151