On Maximal Subgroups of a Finite Solvable Group

2011/05/05 by D. V. Gritsuk, Gritsuk, D. V., V. S. Monakhov +1
Mathematics · #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Limits and Structures in Graph Theory #math.GR

paper · pdf · doi:10.48550/arxiv.1105.1054

arxiv created 2011/05/05 · openalex publication_date 2011/05/05 · arxiv updated 2011/05/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The following result is received: Let H be a non-normal maximal subgroup of a finite solvable group G and let q ∈ π(F(H/Core_GH)), then G has a Sylow q-subgroup Q such that N_G(Q) ⊆ H.

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