A small profinite m-stable group has an open abelian subgroup of finite ℳ-rank and finite exponent.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm176-2-6, author = {Frank O. Wagner}, title = {Small profinite m-stable groups}, journal = {Fundamenta Mathematicae}, volume = {177}, year = {2003}, pages = {181-191}, zbl = {1025.03027}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm176-2-6} }
Frank O. Wagner. Small profinite m-stable groups. Fundamenta Mathematicae, Tome 177 (2003) pp. 181-191. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm176-2-6/