# Proper Lorentz transformations from group theory?

PeroK
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The requirement that the set of Lorentz transformations forms a group comes from the basic properties that we expect of spacetime and inertial frames of reference.

The transformations must be linear, otherwise the transformation would depend on a particular reference point for ##(t, x, y, z) = (0,0,0,0)##.

There's a derivation from homogeneity and isotropy here:

http://www2.physics.umd.edu/~yakovenk/teaching/Lorentz.pdf

vanhees71