On quasiregular collineation groups of projective planes

@article{Arasu1991OnQC,
  title={On quasiregular collineation groups of projective planes},
  author={K. Arasu and A. Pott},
  journal={Designs, Codes and Cryptography},
  year={1991},
  volume={1},
  pages={83-92}
}
  • K. Arasu, A. Pott
  • Published 1991
  • Mathematics, Computer Science
  • Designs, Codes and Cryptography
We investigate quasiregular collineation groups Γ of type (d) in the Dembowski-Piper classification. We prove that the Sylow 2-subgroup of Γ as well as the Sylow 2-subgroup of its multiplier group have to be cyclic. We use these results to obtain new necessary conditions on the existence of affine difference sets. 

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References

SHOWING 1-10 OF 13 REFERENCES
Relative Difference Sets and Quasiregular Collineation Groups
On a theorem of Ganley
Some non-existence results on divisible difference sets
On multiplier groups of finite cyclic planes
Cyclic affine planes of even order
  • K. Arasu
  • Computer Science, Mathematics
  • Discret. Math.
  • 1989
On Affine Difference Sets
On a paper of dembowski and ostrom
A multiplier theorem.
...
1
2
...