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A new symmetric design with parameters (176, 50, 14)
Author(s) -
Boz̆ikov Zdravka
Publication year - 2000
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 - 10.1002/1520-6610(2000)8:5<387::aid-jcd7>3.0.co;2-w
Subject(s) - mathematics , combinatorics , abelian group , order (exchange) , automorphism , exponent , symmetric group , extension (predicate logic) , automorphism group , alternating group , group (periodic table) , dual (grammatical number) , discrete mathematics , art , linguistics , philosophy , chemistry , literature , organic chemistry , finance , computer science , economics , programming language
A new symmetric non‐self‐dual design with parameters (176, 50, 14) is constructed, where its full automorphism group of order 1000 is a faithful extension of the non‐abelian group of order 125 and exponent 5 by the cyclic group of order 8. © 2000 John Wiley & Sons, Inc. J Combin Designs 8: 387–390, 2000