Glasnik Matematicki, Vol. 36, No.2 (2001), 193-222.
ON SYMMETRIC BLOCK DESIGNS (45,12,3) WITH
INVOLUTORY AUTOMORRPHISM FIXING 15 POINTS
Vinko Mandekić-Botteri
University of Zagreb, Faculty of Textile Technology,
Baruna Filipovica 30/III, 10000 Zagreb, Croatia
e-mail: vinko@zagreb.tekstil.hr
Abstract. All symmetric block designs (45,12,3)
admitting an involutory automorphism fixing 15 points are
classified. The orders of their groups are also determined.
1991 Mathematics Subject Classification.
05B05.
Key words and phrases. Symmetric design, automorphism
group, orbit structure, indexing.
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