We characterize a particular kind of decomposition of a Butler group that is the general case for Butler B(1)-groups; and exhibit a decomposition of a B(2)-group which is not of that kind.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-2-11,
author = {Clorinda De Vivo and Claudia Metelli},
title = {Butler groups splitting over a base element},
journal = {Colloquium Mathematicae},
volume = {107},
year = {2007},
pages = {297-305},
zbl = {1123.20044},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-2-11}
}
Clorinda De Vivo; Claudia Metelli. Butler groups splitting over a base element. Colloquium Mathematicae, Tome 107 (2007) pp. 297-305. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-2-11/