2017
Том 69
№ 9

All Issues

$s$-Conditionally Permutable Subgroups and $p$-Nilpotency of Finite Groups

Li X. H., Xu Y.


Abstract

We study the $p$-nilpotency of a group such that every maximal subgroup of its Sylow $p$-subgroups is $s$-conditionally permutable for some prime $p$. By using the classification of finite simple groups, we get interesting new results and generalize some earlier results.

English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 6, pp 961-967.

Citation Example: Li X. H., Xu Y. $s$-Conditionally Permutable Subgroups and $p$-Nilpotency of Finite Groups // Ukr. Mat. Zh. - 2014. - 66, № 6. - pp. 858–864.