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Proceedings of the American Mathematical Society

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On $ \mathfrak{F}$-normalizers and $ \mathfrak{F}$-hypercenter


Author: Nobuo Inagaki
Journal: Proc. Amer. Math. Soc. 26 (1970), 21-22
MSC: Primary 20.40
MathSciNet review: 0263921
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Abstract: In this note, we shall prove a theorem which is a generalization of the following theorem: Let $ G$ be a soluble group, then the intersection of all system normalizers of $ G$ is the hypercenter of $ G$.


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DOI: https://doi.org/10.1090/S0002-9939-1970-0263921-X
Keywords: Local formation, Sylow system, $ \mathfrak{F}$-normalizer, $ \mathfrak{F}$-central-$ p$-chief factor, $ \mathfrak{F}$-hypercenter
Article copyright: © Copyright 1970 American Mathematical Society