  This paper is a survey on the works [MS77, MS79, MS81] on maximal subgroups
in finitely generated linear groups, and the works that followed it [GG08,
GG13b, GG13a, Kap03, Iva92, HO16, GM16, AGS14, Sf90, Sf98, Per05, AKT16, FG18,
GS17] concerning maximal subgroups of infinite index in linear groups as well
as in various other groups possessing a suitable geometry or dynamics.
