A characterization of ZM-groups

2017/04/10 by Marius Tărnăuceanu, Tărnăuceanu, Marius
Computer Science · Mathematics · #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1704.03083

openalex publication_date 2017/04/10 · openalex created_date 2017/05/19 · openalex updated_date 2026/07/31

Abstract

In this short note we give a characterization of ZM-groups that uses the functions defined and studied in [3,4]. This leads to a proof of Conjecture 6 in [4].

Related

• Counting conjugacy classes and automorphism-conjugacy classes of ZM-groups
• The Chermak-Delgado lattice of ZM-groups
• On a special class of p-groups
• The Monster group is a completion of the Goldschmidt G3-amalgam
• Finite-Dimensionality of Z-Boundaries