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(f,2)--Rotational Extended Steiner Triple Systems With f=2 and f=3

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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 elementsand k cycles of length frac {v-f}k. In this paper, we obtain a necessaryand sufficient condition for the existence of (f, 2)--rotational extended Steinertriple systems with f=2 and f=3.

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