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

نویسندگان

1 Department of Mathematics, Shi.C., Islamic Azad University, Shiraz, Iran

2 Department of Mathematical Sciences, Sharif University of Technology, Azadi Avenue, Tehran, 11155-9415, Tehran, Iran

doi
10.22108/ijgt.2025.142465.1919
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.