Groups with finitely many normalizers of non-periodic subgroups |
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| Authors: | Maria De Falco Francesco de Giovanni Carmela Musella |
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| Institution: | 1.Dipartimento di Matematica e Applicazioni,Università di Napoli Federico II, Complesso Universitario Monte S. Angelo,Napoli,Italy |
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| Abstract: | A theorem of Polovickiĭ states that any group with finitely many normalizers of subgroups is finite over its centre. Here
we prove that the centre of a non-periodic group G has finite index if and only if G has finitely many normalizers of non-periodic subgroups. |
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