ISSN:
1572-9168
Keywords:
Primary: 51E21, 51E20, 51E12, 51E15
;
Secondary: 05B25
;
Flocks
;
ovals
;
herds
;
hyperovals
;
Subiaco q-clans
;
translation planes
;
fundamental quadrangles
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract An infinite family of q-clans, called the Subiaco q-clans, is constructed for q=2e. Associated with these q-clans are flocks of quadratic cones, elation generalized quadrangles of order (q 2, q), ovals of PG(2, q) and translation planes of order q 2 with kernel GF(q). It is also shown that a q-clan, for q=2e, is equivalent to a certain configuration of q+1 ovals of PG(2, q), called a herd.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00150865
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