Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

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

  • Cho, Chung-Je (Department of Mathematics and Statistics Sookmyung Womens University)
  • Published : 2002.07.01
Download PDF
⟨ Previous Next ⟩

Abstract

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.

Keywords

References

  1. Util. Math. v.14 On the existence of extended triple systems F. E. Bennett;N. S. Mendelsohn
  2. Kyungpook Math. J. v.31 Rotational Extended Triple Systems C. J. Cho
  3. Kyungpook Math. J. v.32 Regular Extended Triple Systems C. J. Cho
  4. J. Combin. Theory Ser. v.A61 Steiner triple systems with near-rotational automorphisms R. B. Gardner https://doi.org/10.1016/0097-3165(92)90030-X
  5. Math. Appl. v.329 (F,2)-Rotational Steiner Triple Systems, Combinatorics advances Z. Jiang
  6. Aequationes Math. v.3 Extended triple systems D. M. Johnson;N. S. Mendelsohn
  7. Math. Scand. v.9 Verification of conjecture of Th. Skolem E. S. O'Keefe
  8. Math.-Fzy. Cas v.16 Poznamka o cycklickych Steinerovych systemoch trojic A. Rosa
  9. Math. Scand. v.5 On certain distributions of integers in pairs with given differences Th. Skolem