Abstract
Let F be a non-empty subgroup-closed saturated formation, it is studied that the structure of a finite group G under the assumption that every subgroup of prime order p if p≠ 2 and every cyclic subgroup of order 2 or 4 if p=2 are contained in the F-hypercenter of the normalizer N G (P) of a Sylow p-subgroup P of G. Our results improve and extend some conclusions in the previous references.
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Foundation item: Supported by the Natural Science Foundation of Guizhou Province (2010GZ77391)
Biography: CHEN Songliang, male, Ph. D, Associate professor, research direction: the theory of finite group.
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Chen, S., Li, J. On the F-hypercenter of finite solvable groups. Wuhan Univ. J. Nat. Sci. 17, 19–24 (2012). https://doi.org/10.1007/s11859-012-0798-3
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DOI: https://doi.org/10.1007/s11859-012-0798-3