Original scientific paper

https://doi.org/10.3336/gm.42.2.01

A series of finite groups and related symmetric designs

Dieter Held ; Fachbereich Mathematik, Johannes Gutenberg-Universität, D-55128 Mainz, Germany
Mario-Osvin Pavčević ; Department of applied mathematics, Faculty of electrical engineering, University of Zagreb, Unska 3, HR-10000 Zagreb, Croatia
Marcel Schmidt ; Institut für Mathematik, Martin-Luther-Universität Halle-Wittenberg, Theodor-Lieser-Strasse 5, D-06120 Halle (Saale), Germany

Abstract

For any odd prime power q = pe we study a certain solvable group G of order q2 · ((q-1)/2)2 · 2 and construct from its internal structure a symmetric design D with parameters (2q2+1, q2, (q2-1)/2) on which G acts as an automorphism group. As a consequence we find that the full automorphism group of D contains a subgroup of order |G| · e2.

Keywords

Symmetric design; automorphism group

Hrčak ID:

17938

URI

https://hrcak.srce.hr/17938

Publication date:

11.12.2007.

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