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weakly s-supplementally embedded subgroup

Proceedings of the Edinburgh Mathematical Society (1)

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Weakly s-supplementally embedded minimal subgroups of finite groups
Part of
- Representation theory of groups
Tao Zhao, Xianhua Li, Yong Xu
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 54 / Issue 3 / October 2011

Published online by Cambridge University Press:

17 August 2011, pp. 799-807
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Suppose that G is a finite group and H is a subgroup of G. We call H a weakly s-supplementally embedded subgroup of G if there exist a subgroup T of G and an s-quasinormally embedded subgroup Hse of G contained in H such that G = HT and H ∩ T ≤ Hse. We investigate the influence of the weakly s-supplementally embedded property of some minimal subgroups on the structure of finite groups. As an application of our results, some earlier results are generalized.