Two-generation of traceless matrices over finite fields
Year: 2025
Type: article
Abstract: We prove that the Lie algebra sl n ( F q ) of traceless matrices over a finite field of characteristic p can be generated by 2 elements with exceptions when ( n , p ) is ( 3 , 3 ) or ( 4 , 2 ) . In the latter cases, we establish curious identities that obstruct 2-generation.
Authors: Omer Cantor, Urban Jezernik, Andoni Zozaya
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,230
Awards: Generating, analysing and cataloging symmetric graph, Simultaneous similarity of matrices, Rapid random generation of Lie algebras, Computationally intensive methods in theoretical computer science, discrete mathematics, combinatorial optimization, and numerical analysis and algebra with applications in natural and social sciences, Symmetry, fixity and flexibility of graphs, Algebra, operator theory and financial mathematics, G7705511942, Free Real Algebraic Geometry with trace
OpenAlex ID: W4408029033