Capable groups of prime exponent and class 2, II

2005/06/28 by Arturo Magidin, Magidin, Arturo
Computer Science · Engineering · Mathematics · #15A04 (secondary) #20D15 (primary) #20F12 #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #graph theory and CDMA systems #math.GR #msc:15A04 #msc:20D15 #msc:20F12

paper · pdf · doi:10.48550/arxiv.math/0506578

30 pp

arxiv created 2005/06/28 · openalex publication_date 2005/06/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the capability of p groups of class two and odd prime exponent. We use linear algebra and counting arguments to establish a number of new results. In particular, we settle the 4-generator case, and prove a sufficient condition based on the ranks of G/Z(G) and [G,G].

Related

• Some results on capable groups of prime exponent and class two
• On the capability of finite groups of class two and prime exponent
• Capable groups of prime exponent and class two
• On the orders of generators of capable p-groups
• On Capable groups of order p²q