On groups of finite Prüfer rank

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B. A. F. Wehrfritz
Queen Mary University of London. School of Mathematical Sciences

Let G be a group of finite rank and π any finite set of primes. We prove that G contains a characteristic subgroup H of finite index such that every finite π-image of H is nilpotent. Our conclusions are stronger if G is also soluble.

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Groups of finite Prüfer rank

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Wehrfritz, B. A. F. «On groups of finite Prüfer rank». Publicacions Matemàtiques, 2024, vol.VOL 68, núm. 2, p. 439-43, http://raco.cat/index.php/PublicacionsMatematiques/article/view/430119.
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