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New symmetric designs and nonabelian difference sets with parameters(100, 45, 20)
Author(s) -
Vučičić Tanja
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)8:4<291::aid-jcd6>3.0.co;2-l
Subject(s) - mathematics , combinatorics , symmetric group , order (exchange) , automorphism , group (periodic table) , frobenius group , automorphism group , chemistry , organic chemistry , finance , economics
Six nonisomorphic new symmetric designs with parameters (100, 45, 20) are constructed by action of the Frobenius group E 25 · Z 12 . This group proves to be their full automorphism group. Its Frobenius subgroup of order 100 acts on the designs as their nonabelian Singer group. The result is presented through six nonisomorphic new nonabelian (100, 45, 20) difference sets as well. © 2000 John Wiley & Sons, Inc. J Combin Designs 8: 291–299, 2000