On Hall Normally Embedded Subgroups of Finite Groups |
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| Authors: | Shirong Li Guoping Nong Longqiao Zhou |
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| Affiliation: | Department of Mathematics , Guangxi University , Nanning, Guangxi, China |
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| Abstract: | A subgroup H of a finite group G is called Hall normally embedded in G if H is a Hall subgroup of the normal closure H G . Groups which contain a Hall normally embedded subgroup of order d for every factor d of | G | are characterized. Such groups are supersolvable with a cyclic nilpotent residual of square-free order. |
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| Keywords: | Meta-nilpotent group Solvable group The derived subgroup of a group |
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