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semidirect connecting ramp INFRASTRUK.

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Given an action of one group scheme on another by automorphisms, one can form semidirect products by following the usual set-theoretic construction.
en.wikipedia.org
More precisely, the collineation group is the projective semilinear group, which is the semidirect product of homographies by automorphic collineations.
en.wikipedia.org
A semidirect product of and is obtained by relaxing the third condition, so that only one of the two subgroups is required to be normal.
en.wikipedia.org

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