English

K-Exit for OD-Characterization of the finite Groups

Group Theory 2025-06-12 v1

Abstract

Suppose G is a finite group, and K is a normal solvable subgroup of G. In this paper, we present a powerful method which is called K-Exit. Using this method, we find some members of {\pi}(G) that are not members of {\pi}(K) and for this purpose, we introduce the tables of K-Exit. This method can be applied to OD-Characterization of the finite Groups

Keywords

Cite

@article{arxiv.2506.09241,
  title  = {K-Exit for OD-Characterization of the finite Groups},
  author = {Majid Akbari},
  journal= {arXiv preprint arXiv:2506.09241},
  year   = {2025}
}