Volume 36 • Number 3 • 2013   • New Characterizations of $p$-Nilpotency and Sylow Tower Groups Changwen Li Abstract. We introduce a new subgroup embedding property of finite groups called $s^{*}$-permutably embedding. By using this embedding property and formation theory, we obtain some new characterizations of $p$-nilpotency and Sylow tower groups of supersolvable type. Some recent results are unified and generalized. 2010 Mathematics Subject Classification: 20D10, 20D15 Full text: PDF