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(f,2)-rotational extended Steiner triple systems with f=2 and f=3
- Authors
- Cho, CJ
- Issue Date
- Jul-2002
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- extended Steiner triple system; automorphism of an extended Steiner triple system
- Citation
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.39, no.4, pp 621 - 651
- Pages
- 31
- Journal Title
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 39
- Number
- 4
- Start Page
- 621
- End Page
- 651
- ISSN
- 0304-9914
2234-3008
- 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 v-f/k. 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.
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