Infinite locally finite simple groups with many complemented subgroups
نویسندگان
1 Dipartimento di Matematica e Fisica, Universit degli Studi della Campania “Luigi Vanvitelli”, viale Lincoln 5, Caserta, Italy
2 Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”, Universit degli Studi di Napoli Federico II, Complesso Universitario Monte S. Angelo, Via Cintia, Napoli, Italy
doi
10.22108/ijgt.2021.129515.1700چکیده
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 $G$.
