## Related pagesFundamental theorem of projective geometryFundamental theorem of affine geometry Spreads |

for all elements x,y of V and a of K.

The set of all semilinear maps is a group, and the map which assigns to each semilinear map f the corresponding automorphism of K is a homomorphism with kernel GL(V). In particular, the linear group GL(V) is an invariant subgroup of with

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