Elements of prime order in the upper central series of a group of prime-power order

2023/07/13 by A. Caranti, Caranti, A., C. M. Scoppola +2
Mathematics · #20D15 (Primary) 20D30 #20F12 #20F14 #20F18 (Secondary) #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2307.06584

openalex publication_date 2023/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the occurrence of elements of order p in the upper central series of a finite p-group.

Related

• Finite p-central groups of height k
• Finite p-groups with minimum number of central automorphisms fixing the center element-wise
• The Automorphism Group of p-Central p-Groups
• Groups having all elements off a normal subgroup with prime power order
• On p-central groups