Isomorphisms between Subiaco {$q$}-clan geometries
1995; Volume: 2; Issue: 2 Linguagem: Inglês
10.36045/bbms/1103408755
ISSN2034-1970
AutoresS. E. Payne, Tim Penttila, Ivano Pinneri,
Tópico(s)Coding theory and cryptography
ResumoFor q =2 e , e 4, the Subiaco construction introduced in [2] provides one q{clan, one ock, and for e 6 2( mod 4), one oval inPG(2;q). When e 2 (mod 4), there are two inequivalent ovals. The associated generalised quadrangle of order (q 2 ;q) has a complete automorphism group G of order 2e(q 2 1)q 5 . For each Subiaco oval O there is a group of collineations of PG(2;q) induced by a subgroup ofG and stabilisingO .W hene 2( mod 4), for both ovals the complete stabiliser is just that induced by a subgroup ofG.
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