Isomorphisms of groups related to flocks

@article{Thas2012IsomorphismsOG,
  title={Isomorphisms of groups related to flocks},
  author={Koen Thas},
  journal={Journal of Algebraic Combinatorics},
  year={2012},
  volume={36},
  pages={111-121}
}
  • K. Thas
  • Published 1 August 2012
  • Mathematics, Geology
  • Journal of Algebraic Combinatorics
A truly fruitful way to construct finite generalized quadrangles is through the detection of Kantor families in the general 5-dimensional Heisenberg group over some finite field $\mathbb{F}_{q}$. All these examples are so-called “flock quadrangles”. Payne (Geom. Dedic. 32:93–118, 1989) constructed from the Ganley flock quadrangles the new Roman quadrangles, which appeared not to arise from flocks, but still via a Kantor family construction (in some group of the same order as ). The fundamental… 

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