Year: 2025
Type: article
Abstract: In this paper, the problem of unipotency for the matrix group generated by two matrices is examined. By employing matrix logarithms as a tool, various combinatorial formulas for matrices were derived by selecting different primitive elements. Key conclusions were then reached through the organization and simplification of these formulas. It was ultimately demonstrated, based on these conclusions, that a matrix group G generated by two matrices, where the Jordan blocks do not exceed third order, must be unipotent if each primitive element of G is unipotent and has an order of six or less.
Source: Journal of Applied Mathematics
DOI: 10.1155/2025/1423635
Authors: Yanshuo Cheng, Xinsong Yang
Institution: Harbin University of Science and Technology
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,130
Award: G81702655
OpenAlex ID: W4406125074