Explicit constructions for 1-rotational Kirkman triple systems
It is shown that if each prime factor of \(n\) is congruent to 1 modulo 6 then there exists a 1-rotational Kirkman triple system of order \(8n+1\) (i.e. a Kirkman triple system admitting an automorphism consisting of one fixed point and a single cycle of length \(8n\)).
scientific article; zbMATH DE number 1618583