The question of identifying the elements of the center of a nearring and of determining when that center is a subnearring is an area of continued research. We consider the centers of centralizer nearrings, $M_I(S_n)$, determined by the symmetric groups $S_n$ with $n \geq 3$ and the inner automorphisms $I = Inn\ S_n$. General tools for determining elements of the center of $M_I(S_n)$ are developed, and we use these to list the specific elements in the centers of $M_I(S_4)$, $M_I(S_5)$, and $M_I(S_6)$.
Boudreaux, M., Cannon, G., Neuerburg, K., Palmer, T., & Troxclair, T. (2020). Centers of centralizer nearrings determined by inner automorphisms of symmetric groups. Journal of Algebra and Related Topics, 8(1), 51-65. doi: 10.22124/jart.2020.14757.1171
MLA
M. Boudreaux; G. Cannon; K. Neuerburg; T. Palmer; T. Troxclair. "Centers of centralizer nearrings determined by inner automorphisms of symmetric groups". Journal of Algebra and Related Topics, 8, 1, 2020, 51-65. doi: 10.22124/jart.2020.14757.1171
HARVARD
Boudreaux, M., Cannon, G., Neuerburg, K., Palmer, T., Troxclair, T. (2020). 'Centers of centralizer nearrings determined by inner automorphisms of symmetric groups', Journal of Algebra and Related Topics, 8(1), pp. 51-65. doi: 10.22124/jart.2020.14757.1171
VANCOUVER
Boudreaux, M., Cannon, G., Neuerburg, K., Palmer, T., Troxclair, T. Centers of centralizer nearrings determined by inner automorphisms of symmetric groups. Journal of Algebra and Related Topics, 2020; 8(1): 51-65. doi: 10.22124/jart.2020.14757.1171
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