Scholarly and Creative Works
2025
- Yang, Y., & Zarrin, M. (2025). The number of pairwise non-commuting sets in a finite group. Bulletin of the Australian Mathematical Society, https://doi.org/10.1017/S0004972724001370.
2021
- Zarrin, M. (2021). On groups with the set number of centralizers, , J. Algebra. Appl. 6 pages. (with K. Khoramshahi). JAA.
- Zarrin, M. (2021). The average element order and the number of conjugacy classes of finite groups, J. Algebra 569 1-11. (with E.I. Khukhro and A. Moreto).
- Zarrin, M. (2021). A classification of the finite non-solvable minimal non-CA-groups. J. Algebra Appl. 20, no. 11, 6 pp. (with L. J. Taghvasani and S. Kohl).
2020
- Zarrin, M. (2020). Influence of the number of Sylow subgroups on solvability of finite groups, Comptes Rendus Mathématique 4 pages. (with C.S. Anabanti and A. Moreto).
2019
- Zarrin, M. (2019). On the set of same-size conjugate classes, Comm. Algebra 47, 3932-3938. (with N. Ahamadkhah).
- Zarrin, M. (2019). Generalizing Baer’s norm, J. Group Theory 22, 157-168. (with M. Lewis).
- Zarrin, M. (2019). On the number of isomorphism classes of derived subgroups, Czech.Math. J. 69, 665-670. (with L.J. Taghvasani and S. Marzang).
2018
- Zarrin, M. (2018). A counterexample to Herzog’s Conjecture on the number of involutions, Arch. Math (Basel) 111, 349-351.
- Zarrin, M. (2018). A generalization of Neumann’s question, Results Math. 73 no. 2, Art. 80, 11 page. (N. Ahmadkhah and S. Marzang).
- Zarrin, M. (2018). Criteria for nilpotency of groups via partitions, Math. Nachr, 291, 1-5. (with L.J. Taghvasani).
- Zarrin, M. (2018). A generalization of Neumann’s question, Results Math. 73, no. 2, Art. 80, 11 page. (with N. Ahmadkhah and S. Marzang).
2017
- Zarrin, M. (2017). Shen’s conjecture on groups with given same order type, I.J. Group Theory, 6, 17-20. (with L.J. Taghvasani).
- Zarrin, M. (2017). Non-nilpotent subsets in the Susuki groups, I.J. Group Theory, 6, 7-15.
- Zarrin, M. (2017). A characterization of A_5 by its Same-order type, Monatshefte für Mathematik, 182, 731-736. (with L.J. Taghvasani).
- Zarrin, M. (2017). On the norm of the centralizers of a group, Colloq. Math. 149, 87-91.
- Zarrin, M. (2017). with H.E. Bell, A commutativity condition subsets of rings, J. Algebra. Appl. 16, 6 pages.
2016
- Zarrin, M. (2016). On non-commuting sets and centralizers in infinite groups, Bull. Aust. Math. Soc. 93, 42-46.
- Zarrin, M. (2016). On Solvability of groups with few non-cyclic subgroups, Algebra Colloq. 23, 105-110.
2015
- Zarrin, M. (2015). with H.E. Bell, A commutativity property for rings, J. Algebra. Appl.14, 8 pages.
- Zarrin, M. (2015). Derived length and centralizers in groups, J. Algebra. Appl. 14, 4 pages.
- Zarrin, M. (2015). Non-nilpotent subgroups of locally graded group, Colloq. Math.138, 145-148.
2014
- Zarrin, M. (2014). On solubility of groups with few normalizers, Bull. Aust. Math. Soc. 90, 247-249.
- Zarrin, M. (2014). On groups with finitely many derived subgroups, J. Algebra. Appl. 13, 5 pages.
2013
- Zarrin, M. (2013). Non-subnormal Subgroups of groups, Journal of Pure and Applied Algebra, 217, 851-853.
- Zarrin, M. (2013). Groups with few solvable subgroups, J. Algebra. Appl. 12, (2013) 1350011 (4 pages).
- Zarrin, M. (2013). On solubility of groups with finitely many centralizers, Bull. Iran. Math. Soc. 39, 517-521.
2012
- Zarrin, M. (2012). A generalization of Schmidt’s Theorem on groups with all subgroups nilpotent, Arch. Math (Basel) 99, 201-206.
- Zarrin, M. (2012). Ensuring a group is weakly nilpotent, Comm. Algebra 40, no.12, 4739-4752.
- Zarrin, M. (2012). On groups with a finite number of normalizers, Bull. Aust. Math. 86, 416-423.
2011
- Zarrin, M. (2011). Criteria for the solubility of finite groups by their centralizers, Arch. Math (Basel) 96 (2011) 225-226.
2010
- Zarrin, M. (2010). Non-nilpotent graph of a group, Comm. Algebra 38 (2010) no. 12, 4390-4403. (with A. Abdollahi).
- Zarrin, M. (2010). On the clique numbers of non-commuting graphs of certain groups, Algebra Colloq. 17, 611-620. (with A. Abdollahi, A, Azad. Abdollahi, A. Mohammadi).
2009
- Zarrin, M. (2009). On element-centralizers in finite groups, Arch. Math (Basel) 93, 497-503.
2006
- Zarrin, M. (2006). B.H. Neumann’s Question on Ensuring Commutativity of Finite Groups, BULL. AUSTRAL. MATH. SOC. VOL. 74 121-132. (with A. Abdollahi, A. Azad and A. Mohammadi).