A Note on Countable Butler Groups
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 605-611
Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica
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.
@article{BUMI_2007_8_10B_3_a8,
author = {Arnold, David M. and Rangaswamy, Kulumani M.},
title = {A {Note} on {Countable} {Butler} {Groups}},
journal = {Bollettino della Unione matematica italiana},
pages = {605--611},
publisher = {mathdoc},
volume = {Ser. 8, 10B},
number = {3},
year = {2007},
zbl = {1142.20030},
mrnumber = {2351532},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a8/}
}
TY - JOUR AU - Arnold, David M. AU - Rangaswamy, Kulumani M. TI - A Note on Countable Butler Groups JO - Bollettino della Unione matematica italiana PY - 2007 SP - 605 EP - 611 VL - 10B IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a8/ LA - en ID - BUMI_2007_8_10B_3_a8 ER -
Arnold, David M.; Rangaswamy, Kulumani M. A Note on Countable Butler Groups. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 605-611. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a8/