Certain Roman and flock generalized quadrangles have nonisomorphic elation groups
نویسندگان
چکیده
We prove that the elation groups of a certain infinite family of Roman generalized quadrangles are not isomorphic to those of associated flock generalized quadrangles.
منابع مشابه
Isomorphisms of groups related to flocks
A truly fruitful way to construct finite generalized quadrangles is through the detection of Kantor families in the general 5-dimensional Heisenberg group H2(q) over some finite field Fq . 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...
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