2-nilpotent multiplier and 2-capability of finite 2-generator p-groups of class two

2021/09/11 by Farangis Johari, F. Johari, Johari, F. +3
Mathematics · #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Rings, Modules, and Algebras #math.GR

paper · pdf · doi:10.48550/arxiv.2109.05328

arxiv created 2021/09/11 · openalex publication_date 2021/09/11 · arxiv updated 2021/09/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let p be a prime number. We give the explicit structure of 2- nilpotent multiplier for each finite 2-generator p-group of class two. Moreover, 2-capable groups in that class are characterized.

Related

• Some results on capable groups of prime exponent and class two
• Capable groups of prime exponent and class 2, II
• Classifying p-groups via their multiplier
• On the capability of finite groups of class two and prime exponent
• Enumerating finite class-2-nilpotent groups on 2 generators