In this work we study spreads of PG(3,q) which are invariant under the group ASL(1,9) of affine special linear transformations over GF(9); such group is contained in A_6 as a subgroup of index 10. Under the assumption q odd, q congruent 1 (mod 3) we give a convenient representation of ASL(1,9) inside PGL(4,q) and moreover we settle the case q=7 completely.
Finite Translation Planes Arising from ASL(1,9)-Invariant Spreads / Bonisoli, Arrigo; D., Defina; D., Saeli. - In: RENDICONTI DI MATEMATICA E DELLE SUE APPLICAZIONI. - ISSN 1120-7183. - STAMPA. - 10:(1990), pp. 327-347.
Finite Translation Planes Arising from ASL(1,9)-Invariant Spreads
BONISOLI, Arrigo;
1990
Abstract
In this work we study spreads of PG(3,q) which are invariant under the group ASL(1,9) of affine special linear transformations over GF(9); such group is contained in A_6 as a subgroup of index 10. Under the assumption q odd, q congruent 1 (mod 3) we give a convenient representation of ASL(1,9) inside PGL(4,q) and moreover we settle the case q=7 completely.
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