Year: 2025
Type: article
Abstract: A finite non-abelian group G is said to be nX-complementary generated if, for any arbitrary non-identity element x ∈ G, there exists an element y ∈ nX such that G = ⟨x, y⟩, where nX is a non-trivial conjugacy class of elements of order n.In this paper, we classify all the non-trivial conjugacy classes of the Chevalley group G2(4), determining whether they are complementary generators of G2(4) or not.We prove that the group G2(4) is nX-complementary generated if and only if n ≥ 5 and nX / ∈ {5A, 5B}.
Institutions: Sohar University, University of Limpopo, North-West University
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4413987253