Glasnik Matematicki, Vol. 32, No.2 (1997), 173-177.

ON THE GROUP A5 AS AN AUTOMORPHISM GROUP ON TRIPLANES OF ORDER 16

A. Golemac and V. Cigic

Department of Mathematics, University of Split, Teslina 12/III, 21000 Split, Croatia

University of Mostar, Matice hrvatske bb, 88000 Mostar, Bosnia and Herzegovina

Abstract.   This article presents an examination of the possibility that group A5 operates on a symmetric design with parameters (115,19,3) as its automorphism group. The method based on the coset enumeration in a group is used.

1991 Mathematics Subject Classification.   05B05.

Key words and phrases.   Symmetric design, automorphism group, orbit structure, indexing.

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