Letter to the editor

✍ Scribed by Viktor A. Zinoviev

• Book ID: 103056336
• Publisher: Elsevier Science
• Year: 1979
• Tongue: English
• Weight: 25 KB
• Volume: 28
• Category: Article
• ISSN: 0012-365X
• DOI: 10.1016/0012-365x(79)90191-2

✦ Synopsis

Scmaknv and Zinoviev [3] have cc, nstructe0 in 19(~0 a Steincr system S(3, 4, It,,. completely partitionable into Steiner s~,stems S(2.4, 16) {in this case S(3, 4. 15) being called 2-resolvable), each of ~h,ch is comglc~e!y partitionable irto Steiner systems (1.4, 16) (then S(3.4, 16) being s'nd to be doubly resolvable). Zait,.,ev, Zinoviev and Semal:ov [4] have prmed the existence of an infinite family of 2-resolvable Steiner systems ,5(3 4.2>'). m -2, 3.4 ..... Independently. Baker has reproved in fl] the latter result. Also, he h~,:; proved that these 2-resolvab!e 9(3,4, 22'') are in fact doubly -esolvable. The bibliography of Lindner aq:i Rosa's recent survey [2] of Steiner, yste.ms £{3,4. n) (where reference is r ~ ade to [i ]), shoulC also include references to [3] and [4~.