Tao ZHAO, Xianhua LI, Yong XU

On CISE-normal subgroups of finite groups

A generalized normality CISE of subgroups of a finite group is introduced. Let F be a saturated formation containing the class of all supersolvable groups. We give a characterization of F by using CISE-normality of subgroups.

Anahtar Kelimeler:

Formation, supersolvable subgroup, CISE-normal subgroup

On CISE-normal subgroups of finite groups

Keywords:

Formation, supersolvable subgroup, CISE-normal subgroup,

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Yong XU, Tao ZHAO and Xianhua LI School of Mathematical Science, Soochow University Suzhou, Jiangsu 215006, People’s Republic of China e-mail: xhli@suda.edu.cn