Socle of Hamiltonian Group

2022/04/24 by Sourav Koner, Koner, Sourav, Biswajit Mitra +1
Mathematics · #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Graph theory and applications #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2204.11306

openalex publication_date 2022/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The socle of a group G is the subgroup generated by all minimal normal subgroups of G. In this short note, we determine the socle of a Hamiltonian group explicitly.

Related

• The Moebius function on the lattice of normal subgroups
• The Möbius Number of the Socle of any Group
• Ground subgroups
• Groups isomorphic to all their non-trivial normal subgroups
• A Study of Groups through Transversals