Glasnik Matematicki, Vol. 34, No.1 (1999), 37-42.
ON A SYMMETRIC DESIGN (133,33,8) AND THE GROUP
E8 . F21
AS ITS AUTOMORPHISM GROUP
Anka Golemac and Tanja Vučičić
University of Split, Department of Mathematics, Teslina 12/III,
21000 Split, Croatia
e-mail: golemac@mapmf.pmfst.hr
e-mail: vucicic@mapmf.pmfst.hr
Abstract. This article presents the examination of the
possibility that group
E8 · F21
operates on a symmetric design with parameters (133,33,8) as its
automorphism group. The method based on coset enumeration in
group is used.
1991 Mathematics Subject Classification.
05B05.
Key words and phrases. Symmetric design, automorphism
group, orbit structure, indexing.
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