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Publications

- Claude Bernard -

“The joy of discovery is certainly the liveliest that the mind of man can ever feel”

PUBLICATIONS

PREPRINTS · 2026

P2. The Baer transform for skew braces (with G. Ercan, Ş. Gül and İ. Ş. Güloğlu). Preprint (2026). arXiv:2607.03081

P1. Sylow theory and the nilpotency class of left nilpotent skew braces (with G. Ercan, Ş. Gül and İ. Ş. Güloğlu). Preprint (2026). arXiv:2606.25691

JOURNAL ARTICLES

18. A geodesic insight into some fundamental fusion theorems. Arch. Math. (Basel) 124 (2025), no. 4, 377–388. doi:10.1007/s00013-025-02101-5

17. A generalization of Alperin Fusion theorem and its applications. J. Algebra 647 (2024), 172–205. doi:10.1016/j.jalgebra.2024.02.016

16. Fusion in supersolvable Hall subgroups. Turkish J. Math. 48 (2024), no. 2, 118–122. doi:10.55730/1300-0098.3497

15. Some new characteristic p-functors and Thompson’s critical subgroup. Comm. Algebra 52 (2024), no. 2, 473–478. doi:10.1080/00927872.2023.2243511

14. Some special coprime actions and their consequences (with G. Ercan, İ. Ş. Güloğlu and D. O. Revin). J. Pure Appl. Algebra 228 (2024), no. 12, Paper No. 107764. doi:10.1016/j.jpaa.2024.107764

13. On the rank and exponent of the fixed points of coprime actions. Acta Math. Hungar. 166 (2022), no. 1, 107–114. doi:10.1007/s10474-021-01198-8

12. A Fitting height lemma and its applications. Arch. Math. (Basel) 117 (2021), no. 1, 29–39. doi:10.1007/s00013-021-01591-3

11. On the influence of the fixed points of an automorphism to the structure of a group. J. Algebra 572 (2021), 326–336. doi:10.1016/j.jalgebra.2020.12.025

10. An extension of the Glauberman ZJ-theorem. Internat. J. Algebra Comput. 31 (2021), no. 1, 117–133. doi:10.1142/S0218196721500065

9. A generalization of Hall–Wielandt theorem. J. Algebra 543 (2020), 156–169. doi:10.1016/j.jalgebra.2019.10.018

8. Finite groups of rank two which do not involve Qd(p) (with E. Yalçın). Proc. Amer. Math. Soc. 148 (2020), no. 9, 3713–3721. doi:10.1090/proc/15066

7. A short note on Isaacs–Navarro’s Theorem. Arch. Math. (Basel) 113 (2019), no. 3, 225–227. doi:10.1007/s00013-019-01334-5

6. Cyclic intersections and control of fusion (with I. M. Isaacs). Arch. Math. (Basel) 113 (2019), no. 6, 561–563. doi:10.1007/s00013-019-01359-w

5. A sufficient condition for fixed points of a coprime action to have a normal complement. Arch. Math. (Basel) 112 (2019), no. 1, 1–3. doi:10.1007/s00013-018-1209-6

4. Some sufficient conditions for p-nilpotency of a finite group. Comm. Algebra 47 (2019), no. 9, 3579–3582. doi:10.1080/00927872.2019.1567752

3. On the number of topologies on a finite set. Algebra Discrete Math. 27 (2019), no. 1, 50–57. Journal page

2. Character free proofs for two solvability theorems due to Isaacs. Comm. Algebra 46 (2018), no. 6, 2631–2634. doi:10.1080/00927872.2017.1392543

1. Finite groups having nonnormal T.I. subgroups. Internat. J. Algebra Comput. 28 (2018), no. 5, 905–914. doi:10.1142/S021819671850039X

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