Conditions for -supersolubility and p-nilpotency of finite soluble groups
Volume 133 / 2013
Colloquium Mathematicum 133 (2013), 85-98
MSC: 20D10, 20D20.
DOI: 10.4064/cm133-1-6
Abstract
Let \mathfrak {Z} be a complete set of Sylow subgroups of a group G. A subgroup H of G is called \mathfrak {Z}-permutably embedded in G if every Sylow subgroup of H is also a Sylow subgroup of some \mathfrak {Z}-permutable subgroup of G. By using this concept, we obtain some new criteria of p-supersolubility and p-nilpotency of a finite group.
