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We show that certain amenable subgroups inside $\tilde{A}_2$-groups aresingular in the sense of Boutonnet and Carderi. This gives a new family ofexamples of singular group von Neumann subalgebras. We also give a geometricproof that if $G$ is an acylindrically hyperbolic group, $H$ is an infiniteamenable subgroup containing a loxodromic element, then $H<G$ is singular.Finally, we present (counter)examples to show both situations happen concerningmaximal amenability of $LH$ inside $LG$ if $H$ does not contain loxodromicelements.

Singular subgroups in $\tilde{A}_2$-groups and their von Neumann algebras