Journal of the
Korean Mathematical Society JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008
qr-code QR
Code

Article

HOME ALL ARTICLES View

J. Korean Math. Soc. 2002; 39(4): 621-651

Printed July 1, 2002

Copyright © The Korean Mathematical Society.

$(f,2)$-rotational extended Steiner triple systems with $f=2$ and $f=3$

Chung Je Cho

Sookmyung Women’s University

Abstract

Go to

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 $\frac {v-f}k$. 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 $f=3$.

Keywords: extended Steiner triple system, automorphism of an extended Steiner triple system

MSC numbers: 05B05, 05B07, 05B10

Article Tools

Stats or Metrics

Share this article on :

Related articles in JKMS