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http://dx.doi.org/10.4134/JKMS.2002.39.4.621

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

Cho, Chung-Je (Department of Mathematics and Statistics Sookmyung Womens University)
Publication Information
Journal of the Korean Mathematical Society / v.39, no.4, 2002 , pp. 621-651 More about this Journal
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
extended Steiner triple system; automorphism of an extended Steiner triple system;
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