Elations and symmetric designs having projective subspaces

✍ Scribed by W. A. Jackson

• Publisher: Springer
• Year: 1991
• Tongue: English
• Weight: 765 KB
• Volume: 39
• Category: Article
• ISSN: 0046-5755
• DOI: 10.1007/bf00147304

✦ Synopsis

Consider symmetric 2-designs D which have an automorphism group G containing 'sufficiently many' elations. This paper investigates the case where there are the 'least' number of elations. Under certain assumptions it is shown that D has a projective subspace and in a particular case D =~ P.,~ or D is obtained from P.,~ by a process called K-alteration.