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

Autor: Mousavi, Hamid, Poozesh, Mina, Zamani, Yousef
Zdroj: Ricerche di matematica; 20230101, Issue: Preprints p1-10, 10p
Abstrakt: Let Gbe a finite group, and let xbe an element of G. Denote by SolG(x)the set of all y∈Gsuch that the group generated by xand yis soluble. We investigate the influence of SolG(x)on the structure of G.
Databáze: Supplemental Index