Schaum's Outline of Group Theory, Section 3.6e defines {{\rm{L}}_n}\left( {V,F} \right) as the set of all one to one linear transformations of V,
the vector space of dimension n over field F.
It then says "{{\rm{L}}_n}\left( {V,F} \right) \subseteq {S_V}, clearly".
({S_V} here means the set...