• Title/Summary/Keyword: automorphism of an extended Steiner triple system

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(f,2)-ROTATIONAL EXTENDED STEINER TRIFLE SYSTEMS WITH f = 2 AND f = 3

  • Cho, Chung-Je
    • Journal of the Korean Mathematical Society
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    • v.39 no.4
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    • pp.621-651
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    • 2002
  • An extended Steiner triple system of order v, denoted by ESTS(v), is said to be (f, k)-rotational if it admits an automorphism consisting of exactly f fixed elements and k cycles of length (equation omitted). In this paper, we obtain a necessary and sufficient condition for the existence of (f,2)-rotational extended Steiner triple systems with f=2 and f=3.