Finite groups with hall subnormally embedded Schmidt subgroups |
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| Authors: | Victor S Monakhov |
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| Institution: | Department of Algebra and Geometry, Gomel F. Scorina State University, Gomel, Belarus |
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| Abstract: | AbstractA subgroup H of a finite group G is said to be Hall subnormally embedded in G if there is a subnormal subgroup N of G such that H is a Hall subgroup of N. A Schmidt group is a finite non-nilpotent group whose all proper subgroups are nilpotent. We prove the nilpotency of the second derived subgroup of a finite group in which each Schmidt subgroup is Hall subnormally embedded. |
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| Keywords: | Derived subgroup finite group hall subgroup nilpotent subgroup subnormal subgroup |
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