Growth Rates of Algebras, III: Growth Rates of Solvable Algebras

2013/11/11 by Keith A. Kearnes, Kearnes, Keith A., Emil W. Kiss +3
Computer Science · Decision Sciences · #08A40 (Primary) #08A55 #08B05 (Secondary) #Advanced Algebra and Logic #Computability, Logic, AI Algorithms #FOS: Mathematics #Fuzzy and Soft Set Theory #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1311.2359

openalex publication_date 2013/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate how the behavior of the function d_A(n) that gives the size of a least size generating set for Aⁿ, influences the structure of a finite solvable algebra A.

Related

• How do algebras grow?
• Algebras of slowly growing length
• Gaps and approximations in the space of growth functions
• Growth of finitely generated simple Lie algebras
• Nil algebras, Lie algebras and wreath products with intermediate and oscillating growth