On \(q\)-clans in even characteristic. (English) Zbl 0898.51004
It is known that the generalized quadrangle \(Q\) associated with a \(q\)-clan can be constructed as a coset geometry of a group \(E\) of order \(q^5\). It is also known that, when \(q\) is odd, one can use an explicit isomorphism between \(E\) and a fixed subgroup \(\widetilde{E}\) of \(PSp(6,q)\) to obtain a geometric construction for \(Q\) starting from a BLT-set of \(W(3,q)\). The present paper is concerned with extensions of these ideas to even \(q\).
Reviewer: L.Teirlinck (Auburn)
MSC:
| 51E12 | Generalized quadrangles and generalized polygons in finite geometry |
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