Let G be a finite group. The notion of n-Engel degree of G, denote by dn(G), is the probability of two randomely chosen elements x, y ∈ G satisfy the n-Engel condition [y,n x]=1. The case n=1 is the known commutativity degree of G. The aim of this paper, is to define and investigate the relative 2-Engel degree of a subgroup H of G as the probability of two randomely chosen elements x∈G and y∈H satisfy the 2-Engel condition [y,2 x]=1.
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Golmakani, H., & Jafarzadeh, A. (2022). On the Relative 2-Engel Degree of A Subgroup of A Finite Group. Analytical and Numerical Solutions for Nonlinear Equations, 7(1), 67-73. doi: 10.22128/gadm.2022.602.1078
MLA
Hanieh Golmakani; Abbas Jafarzadeh. "On the Relative 2-Engel Degree of A Subgroup of A Finite Group", Analytical and Numerical Solutions for Nonlinear Equations, 7, 1, 2022, 67-73. doi: 10.22128/gadm.2022.602.1078
HARVARD
Golmakani, H., Jafarzadeh, A. (2022). 'On the Relative 2-Engel Degree of A Subgroup of A Finite Group', Analytical and Numerical Solutions for Nonlinear Equations, 7(1), pp. 67-73. doi: 10.22128/gadm.2022.602.1078
VANCOUVER
Golmakani, H., Jafarzadeh, A. On the Relative 2-Engel Degree of A Subgroup of A Finite Group. Analytical and Numerical Solutions for Nonlinear Equations, 2022; 7(1): 67-73. doi: 10.22128/gadm.2022.602.1078
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