On redundant Sylow subgroups

2023/11/12 by Benjamin Sambale, Sambale, Benjamin
Computer Science · Mathematics · #Advanced Graph Theory Research #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2311.06931

openalex publication_date 2023/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A Sylow p-subgroup P of a finite group G is called redundant if every p-element of G lies in a Sylow subgroup different from P. Generalizing a recent theorem of Maróti--Martínez--Moretó, we show that for every non-cyclic p-group P there exists a solvable group G such that P is redundant in G. Moreover, we answer several open questions raised by Maróti--Martínez--Moretó.

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