We give the description of locally finite groups with strongly balanced subgroup lattices and we prove that the strong uniform dimension of such groups exists. Moreover we show how to determine this dimension.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm95-2-5, author = {A. Sakowicz}, title = {On strong uniform dimension of locally finite groups}, journal = {Colloquium Mathematicae}, volume = {96}, year = {2003}, pages = {207-216}, zbl = {1035.20022}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm95-2-5} }
A. Sakowicz. On strong uniform dimension of locally finite groups. Colloquium Mathematicae, Tome 96 (2003) pp. 207-216. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm95-2-5/