In the present work, we classify sets of type (4,n) in PG(3,q). We prove that PG(3,q), apart from the planes of PG(3,3), contains only sets of type (4,n) with standard parameters. Thus, somewhat surprisingly, we conclude that there are no sets of type (4,n) in PG(3,q), q ̸= 3, with nonstandard parameters.

Classifying sets of type (4,n) in PG(3,q)

Stefano Innamorati
2024-01-01

Abstract

In the present work, we classify sets of type (4,n) in PG(3,q). We prove that PG(3,q), apart from the planes of PG(3,3), contains only sets of type (4,n) with standard parameters. Thus, somewhat surprisingly, we conclude that there are no sets of type (4,n) in PG(3,q), q ̸= 3, with nonstandard parameters.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/232959
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