A Note on Countable Butler Groups
Arnold, David M. ; Rangaswamy, Kulumani M.
Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007), p. 605-611 / Harvested from Biblioteca Digitale Italiana di Matematica
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An example of a countable Butler group that is not a pure subgroup of a completely decomposable group was published in 1986. Recently, an error in the proof was discovered. This note includes a corrected argument, as well as a proof that this group has no pure precobalanced subgroups of rank one.

Nel 1986 fu pubblicato un esempio di un gruppo di Butler numerabile che non è un sottogruppo puro di un gruppo completamente decomponibile. Recentemente, si è scoperto un errore nella dimostrazione. In questa nota la dimostrazione viene corretta, e si prova anche che questo gruppo non ha sottogruppi puri precobilanciati di rango uno.

Publié le : 2007-10-01
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Arnold, David M.; Rangaswamy, Kulumani M. A Note on Countable Butler Groups. Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007) pp. 605-611. http://gdmltest.u-ga.fr/item/BUMI_2007_8_10B_3_605_0/

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