An orbit theorem for Steiner triple systems

Peter J. Cameron

doi:10.1016/0012-365X(94)90148-1

An orbit theorem for Steiner triple systems

Peter J. Cameron^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

An automorphism group of a nontrivial (possibly infinite) Steiner triple system has at least as many block-orbits as point-orbits. The proof is a translation of that in the finite case, with a small twist. For block size 4, the argument fails, and, indeed, the stronger statement (involving block-tactical decompositions) is false.

Original language	English
Pages (from-to)	97-100
Number of pages	4
Journal	Discrete Mathematics
Volume	125
Issue number	1-3
DOIs	https://doi.org/10.1016/0012-365X(94)90148-1
Publication status	Published - 15 Feb 1994

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An orbit theorem for Steiner triple systems

Abstract

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