On the nX-complementary generations of a Chevalley group
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}.
Authors
- Ayoub B. M. Basheer (ORCID: https://orcid.org/0000-0003-3320-4221)
- Malebogo John Motalane
- Mahlare Gerald Sehoana
- Thekiso Trevor Seretlo
Publication Details
- Journal
- Electronic Journal of Mathematics
- Published
- 2025-09-04
- DOI
- https://doi.org/10.47443/ejm.2025.028
- Primary Topic
- Advanced Differential Equations and Dynamical Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Research Foundation
- North-West University
- Sohar University