New Characterizations of $p$-Nilpotency and Sylow Tower Groups
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 3
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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.
Classification :
20D10, 20D15
@article{BMMS_2013_36_3_a25,
author = {Changwen Li},
title = {New {Characterizations} of $p${-Nilpotency} and {Sylow} {Tower} {Groups}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2013},
volume = {36},
number = {3},
url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_3_a25/}
}
Changwen Li. New Characterizations of $p$-Nilpotency and Sylow Tower Groups. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2013_36_3_a25/