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10 p, 278.3 KB Groups with normality conditions for subgroups of infinite rank / De Falco, Maria (Università di Napoli Federico II. Dipartimento di Matematica e Applicazioni) ; de Giovanni, Francesco (Università di Napoli Federico II. Dipartimento di Matematica e Applicazioni) ; Musella, Carmela (Università di Napoli Federico II. Dipartimento di Matematica e Applicazioni)
A well-known theorem of B. H. Neumann states that a group has finite conjugacy classes of subgroups if and only if it is central-by-finite. It is proved here that if G is a generalized radical group of infinite rank in which the conjugacy classes of subgroups of infinite rank are finite, then every subgroup of G has finitely many conjugates, and so G=Z(G) is finite. [...]
2014 - 10.5565/PUBLMAT_58214_16
Publicacions matemàtiques, Vol. 58, Núm. 2 (2014) , p. 331-340  

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