Cyclic large sets of Steiner triple systems of order

Author:
Kevin T. Phelps

Journal:
Math. Comp. **55** (1990), 821-824, S1

MSC:
Primary 05B07

DOI:
https://doi.org/10.1090/S0025-5718-1990-1035942-1

MathSciNet review:
1035942

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Abstract: We examine a class of large sets of Steiner triple systems of order 15 having an automorphism consisting of two fixed points and a 13-cycle. We exhibit all members of this class: there are 256 nonisomorphic systems. We examined these members for initial configurations which could lead to a large set of Steiner quadruple systems of order 16 and established that no large set exists having three fixed points and a 13-cycle.

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DOI:
https://doi.org/10.1090/S0025-5718-1990-1035942-1

Article copyright:
© Copyright 1990
American Mathematical Society