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Volume 36 • Number 3 • 2013
• New Characterizations of $p$-Nilpotency and Sylow Tower Groups
Changwen Li

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

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