The impact of the solubilizer of an element on the structure of a finite group

AuthorsHamid Mousavi - Mina Poozesh - Yousef Zamani
JournalRicerche di Matematica
Paper TypeFull Paper
Published At2023/9/24
Journal TypeTypographic
Journal CountryItaly

Abstract

Let G be a finite group, and let x be an element of G. Denote by Sol_G(x) the set of all  such that the group generated by x and y is soluble. We investigate the influence of  on the structure of G.