Naslov
Construction of Block Designs Admitting an Abelian Automorphism Group

Autori
Crnković, Dean ; Rukavina, Sanja

Izvornik
Metrika (0026-1335) 62 (2005), 2-3; 175-183

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
block design; automorphism group; abelian group; orbit structure; principal series

Sažetak
Construction of block designs admitting an action of a presumed automorphism group consists of two basic steps: 1. construction of orbit structures for the given automorphism group, 2. construction of block designs for the orbit structures obtained in 1. For an abelian group G, the second step, called indexing, often lasts too long, because there are too many possibilities to be enumerated with today's computer facilities. To make such a construction possible we use a principal series of the group G to obtain a refinement of the orbit structures.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA