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Hooshmand, Mohammad Hadi, Yousefian Arani, Moein. (1404). Computational aspects of subindices and subfactors with characterization of finite index stable groups. , 15(3), 145-160. doi: 10.22108/ijgt.2025.142465.1919
Mohammad Hadi Hooshmand; Moein Yousefian Arani. "Computational aspects of subindices and subfactors with characterization of finite index stable groups". , 15, 3, 1404, 145-160. doi: 10.22108/ijgt.2025.142465.1919
Hooshmand, Mohammad Hadi, Yousefian Arani, Moein. (1404). 'Computational aspects of subindices and subfactors with characterization of finite index stable groups', , 15(3), pp. 145-160. doi: 10.22108/ijgt.2025.142465.1919
Hooshmand, Mohammad Hadi, Yousefian Arani, Moein. Computational aspects of subindices and subfactors with characterization of finite index stable groups. , 1404; 15(3): 145-160. doi: 10.22108/ijgt.2025.142465.1919

Computational aspects of subindices and subfactors with characterization of finite index stable groups

International Journal of Group Theory
دوره 15، شماره 3، آذر 2026، صفحه 145-160    اصل مقاله (445.59 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22108/ijgt.2025.142465.1919
نویسندگان
Mohammad Hadi Hooshmand* 1؛ Moein Yousefian Arani2
1Department of Mathematics, Shi.C., Islamic Azad University, Shiraz, Iran
2Department of Mathematical Sciences, Sharif University of Technology, Azadi Avenue, Tehran, 11155-9415, Tehran, Iran
چکیده
Recently, subindices and subfactors of groups with connections to number theory, additive combinatorics, and factorization of groups have been introduced and studied. Since all group subsets are considered in the theory and there are many basic open problems and questions, their computational aspects are of particular importance. In this paper, by introducing some computational methods and using theoretical approaches together, we not only solve several problems but also pave the way for studying the topic. As the most important result of the study, we completely characterize finite index stable groups.
کلیدواژه‌ها
Factor subset؛ subfactors؛ sub-index؛ index stable subset؛ index stable group؛ factorization of finite groups
مراجع

[1] G. Bergman, A note on factorizations of finite groups, J. Iran. Math. Soc., 1 no. 2 157–161.
[2] R. R. Bildanov, V. A. Goryachenko and A. V. Vasil’ev, Factoring nonabelian finite groups into two subsets, Sib. Èlektron. Mat. Izv., 17 (2020) 683–689.
[3] M. H Hooshmand, Factor subset of finite group, 2014. mathoverflow.net/questions/155986/factor-subset-of-finite-group
[4] M. H. Hooshmand, Basic results on an unsolved problem about factorization of finite groups, Comm. Algebra, 49 no. 7 (2021) 2927–2933.
[5] M. H. Hooshmand, Index, sub-index and sub-factor of groups with interactions to number theory, J. Algebra Appl., 19 no. 6 (2020) 23 pp.
[6] M. H. Hooshmand, Subindices and subfactors of finite groups, Comm. Algebra, 51 no. 6 (2023) 2644–2657.
[7] M. H. Hooshmand, Groups of orders 7! and 7! 2 , 2022. mathoverflow.net/questions/430529
[8] E. I. Khukhro and V. D. Mazurov, Unsolved problems in group theory: the kourovka notebook, 20, Sobolev Institute of Mathematics, 2022.

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