%0 Journal Article
%T Infinite locally finite simple groups with many complemented subgroups
%J International Journal of Group Theory
%I University of Isfahan
%Z 2251-7650
%A Ferrara, Maria
%A Trombetti, Marco
%D 2022
%\ 09/01/2022
%V 11
%N 3
%P 191-200
%! Infinite locally finite simple groups with many complemented subgroups
%K $K$-group
%K complemented subgroup
%K locally finite simple group
%R 10.22108/ijgt.2021.129515.1700
%X We prove that the following families of (infinite) groups have complemented subgroup lattice: alternating groups, finitary symmetric groups, Suzuki groups over an infinite locally finite field of characteristic $2$, Ree groups over an infinite locally finite field of characteristic~$3$. We also show that if the Sylow primary subgroups of a locally finite simple group $G$ have complemented subgroup lattice, then this is also the case for $G$.
%U https://ijgt.ui.ac.ir/article_25979_909f38f32bcf18578af90922d3cb37ba.pdf