Abstract
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 $G$.
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