Abelian Carter subgroups in finite permutation groups

2013/05/27 by Enrico Jabara, Pablo Spiga, Jabara, Enrico +1
Computer Science · Engineering · Mathematics · #05E18 #20B25 #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #graph theory and CDMA systems #math.GR #msc:05E18 #msc:20B25

paper · pdf · doi:10.48550/arxiv.1305.6263

6 pages

openalex publication_date 2013/05/27 · arxiv created 2013/05/28 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that a finite permutation group containing a regular abelian self-normalizing subgroup is soluble.

Related

• Groups in which every non-abelian subgroup is self-normalized
• Groups in which every non-nilpotent subgroup is self-normalizing
• Extension of Carter subgroups in π-separable groups
• Set-stabilizers in solvable permutation groups
• Abelian subgroups of Helly groups