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$c$-supplemented

Proceedings of the Edinburgh Mathematical Society (1)

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THE $c$-SUPPLEMENTED PROPERTY OF FINITE GROUPS
Huaquan Wei, Yanming Wang
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 50 / Issue 2 / June 2007

Published online by Cambridge University Press:

17 May 2007, pp. 493-508
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The purpose of this paper is to study the influence of $c$-supplemented minimal subgroups on the $p$-nilpotency of finite groups. We obtain ‘iff' and ‘localized' versions of theorems of Itô and Buckley on nilpotence, $p$-nilpotence and supersolvability.