Automorphism of incidence structure

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This term is related to: incidence geometry
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Definition

An automorphism of an incidence structure is the following data:

  • A permutation on the point set
  • A permutation on the block set

such that a point and block are incident if and only if their images under the respective permutations are incident.

The set of automorphisms of an incidence structure form a group. This group is in fact a subgroup of the direct product of the symmetric group on the point set and the symmetric group on the block set.

References

  • Finite geometries by Peter Dembowski