Finite solvable groups with a nilpotent normal complement subgroup

2021/12/30 by Mohsen Amiri, Amiri, Mohsen
Chemistry · Mathematics · #Carbohydrate Chemistry and Synthesis #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Synthesis of heterocyclic compounds

paper · pdf · doi:10.48550/arxiv.2112.14992

openalex publication_date 2021/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be a finite solvable group and H a non-normal core-free subgroup of G. We show that if the normalizer of any non-trivial normal subgroup of Fit(H) is equal H, then H has a nilpotent normal complement K such that G=KH and KZ(Fit(H)) is a Frobenius group.

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