Open AccessFlag-transitive point-primitive 2-designs with socle A5
Author(s) -
Delu Tian,
Guiqiu Li
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1592/1/012030
Subject(s) - socle , flag (linear algebra) , transitive relation , mathematics , combinatorics , automorphism group , automorphism , simple (philosophy) , group (periodic table) , point (geometry) , pure mathematics , algebra over a field , physics , geometry , geology , paleontology , philosophy , inversion (geology) , epistemology , structural basin , quantum mechanics
Let D be a non-trivial 2-( v, k, λ) design with a flag-transitive, point-primitive automorphism group G of almost simple type. If Soc( G ) = A 5 , one of the alternating groups, then there are precisely 3 such non-isomorphic 2-designs.