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/