On Abelian Subgroups ofp-Groups Original Research Article

This is a continuation of our note (J. Algebra186(1996), 120–131). We generalize and present simplified proofs almost all elementary lemmas from Section 8 of the Odd Order Paper. In many places we use Hallʹs enumeration principle and other simple combinatorial arguments. A number of related results are proved as well. Some open questions are posed.