Isomorphisms between Subiaco {$q$}-clan geometries | Zendy

S. E. Payne | Zendy; Tim Penttila | Zendy; Ivano Pinneri | Zendy

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Isomorphisms between Subiaco {$q$}-clan geometries

Author(s) -

S. E. Payne,

Tim Penttila,

Ivano Pinneri

Publication year - 1995

Publication title -

bulletin of the belgian mathematical society - simon stevin

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.36

H-Index - 31

eISSN - 2034-1970

pISSN - 1370-1444

DOI - 10.36045/bbms/1103408755

Subject(s) - clan , combinatorics , order (exchange) , mathematics , automorphism group , group (periodic table) , automorphism , physics , law , political science , quantum mechanics , finance , economics

For 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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