Dergiler / Hacettepe Journal of Mathematics and Statistics / 2015 / Cilt: 44 - Sayı: 1
On the structure offinite groupswit hthe given numbersofinvolutions
- Sayfa
- 15–22
- DOI
- —
Abstract
Let G beafinitenon-solvablegroup.Inthispaper,weshowthatif1 / 8 ofelementsof G haveordertwo,then G iseitherasimplegroupisomorphicto PSL 2 ( q ) ,where q ∈{ 7 , 8 , 9 } or G ∼= GL2 (4). Z2 .Infactinthispaper,weanswerProblem132in[1]. AMSClassification: 20D06,20D20,20E45.