For any integer n having each prime factor equivalent to 1 (mod 6) we construct, explicitely, a Kirkman triple system of order 8n+1 admitting an automorphism consisting of a fixed point and a single cycle of length 8n.
Explicit constructions for 1-rotational Kirkman triple systems
ZUANNI, FULVIO
2001-01-01
Abstract
For any integer n having each prime factor equivalent to 1 (mod 6) we construct, explicitely, a Kirkman triple system of order 8n+1 admitting an automorphism consisting of a fixed point and a single cycle of length 8n.File in questo prodotto:
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