Automorphisms and isomorphisms of symmetric and affine designs
Journal of Algebraic Combinatorics, Tome 3 (1994) no. 3, pp. 307-338.

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Summary: Given a finite group $G$, for all sufficiently large $d$ and for each $q > 3$ there are symmetric designs and affine designs having the same parameters as $PG( d, q)$ and $AG( d, q), respectively,$ and having full automorphism group isomorphic to $G.$
Keywords: automorphism group of symmetric design
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     title = {Automorphisms and isomorphisms of symmetric and affine designs},
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Kantor, William M. Automorphisms and isomorphisms of symmetric and affine designs. Journal of Algebraic Combinatorics, Tome 3 (1994) no. 3, pp. 307-338. http://geodesic.mathdoc.fr/item/JAC_1994__3_3_a0/