Coset enumeration in groups and constructions of symmetric designs

• Verfasst von: Janko, Zvonimir [VerfasserIn]
• Titel: Coset enumeration in groups and constructions of symmetric designs
• Verf.angabe: Zvonimir Janko
• Jahr: 1992
• Umfang: 3 S.
• Fussnoten: Elektronische Reproduktion der Druck-Ausgabe 9. Mai 2008 ; Gesehen am 28.06.2023
• Titel Quelle: Enthalten in: Combinatorics '90
• Ort Quelle: Amsterdam : North-Holland, 1992
• Jahr Quelle: 1992
• Band/Heft Quelle: (1992), Seite 275-277
• ISBN Quelle: 0-444-89452-7
• ISBN Quelle: 978-0-444-89452-6
• DOI: doi:10.1016/S0167-5060(08)70919-1
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 185117690X

Abstract

This chapter discusses coset enumeration in groups and constructions of symmetric designs. It presents a group in terms of generators and relations so that each point or block stabilizer, can be expressed with the same generators. The Coxeter-Todd coset enumeration method with respect to the subgroup gives the number of cosets and also gives the permutation representation of group with respect to the (right) cosets of the subgroup. The corresponding programs have been made by Hrabe De Angelis for each stabilizer subgroup. To construct the design means only to put together all these permutation representations according to the orbit structure matrix. In JANKO-TRAN a symmetric design was constructed whose full automorphism group is discussed.