On the number of pure subgroups

Paul Hill
1962 Pacific Journal of Mathematics  
This is precisely the proof of Boyer that such a group has c subgroups [2]. 203 204 PAUL HILL F of rank r and a finite group B with \G\ ^ No, then \ .ζfi \ is finite, No, or c, depending on whether r = 1, 1 < r < co, or r -&>.
doi:10.2140/pjm.1962.12.203 fatcat:5dch5e4gmnccpfpm2nyrduxtbe