Rigid Steiner Triple Systems Obtained from Projective Triple Systems
Copyright policy )Rigid Steiner Triple Systems Obtained from Projective Triple Systems
It was shown by Babai in 1980 that almost all Steiner triple systems are rigid; that is, their only automorphism is the identity permutation. Those Steiner triple systems with the largest automorphism groups are the projective systems of orders. In this paper, we show that each such projective system may be transformed to a rigid Steiner triple system by at mostnPasch trades whenever.
- Slovak University of Technology in Bratislava Slovakia
- The Open University United Kingdom
Group actions on combinatorial structures, automorphism, Steiner triple system, Triple systems, Pasch configuration, Combinatorial aspects of finite geometries, Pasch trade, projective triple system, rigid system
Group actions on combinatorial structures, automorphism, Steiner triple system, Triple systems, Pasch configuration, Combinatorial aspects of finite geometries, Pasch trade, projective triple system, rigid system
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