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The Action of the Group G 2 ( q ) < PSU 6 ( q 2 ) , q Even, and Related Combinatorial Structures
Author(s) -
Cossidente Antonio,
Marino Giuseppe,
Penttila Tim
Publication year - 2012
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.21322
Subject(s) - mathematics , unitary state , combinatorics , group (periodic table) , action (physics) , unitary group , construct (python library) , pure mathematics , physics , quantum mechanics , political science , computer science , law , programming language
We describe some geometrical properties of the action of the Cartan–Dickson–Chevalley exceptional group G 2 ( q ), q even, as a subgroup of the unitary group PSU 6 ( q 2 ).This allows us to provide a new description of the known 126‐hyperoval of H ( 5 , 4 ) and to construct even subsets of PG(2, q 2 ).