Research area: finite group theory
My research interests lie in group theory, particularly finite groups. I apply combinatorial structures, especially graphs, to study finite groups. In most of my research works, we define a graph based on group properties and explore graph theoretical properties to find information about the group. Lately, I have also been interested in studying finite groups through other combinatorial structures, specifically simplicial complexes associated with them.
- B. Akbari, N. Iiyori and A. R. Moghaddamfar, A New Characterization of Some Simple Groups by Order and Degree Pattern of Solvable Graph, Hokkaido Mathematical Journal, 45(2016), 337-363.
- B. Akbari, Mark L. Lewis, J. Mirzajani and A. R. Moghaddamfar, The Solubility Graph Associated with a Finite Group, International Journal of Algebra and Computation, 30(8)(2020), 1555-1564.
- B. Akbari, C. Delizia and C. Monetta, On The Solubilizer of an Element in a Finite Group, arXiv:2202.09563 (2022), 8 pages.