On finite groups with certain complemented p-subgroups

2022/02/15 by Yu Zeng, Zeng, Yu
Computer Science · Mathematics · #20D10 #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2202.07686

openalex publication_date 2022/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a prime power p^d with p a prime and d a positive integer, we classify the finite groups G with p^2d dividing |G| in which all subgroups of order p^d are complemented and the finite groups G having a normal elementary abelian Sylow p-subgroup P such that p^d

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