Abstract
In this article, we introduce a new sequence to find a new estimation of the cardinality Nm of the minimal involutive square-free solution of level m. As an application, using the first values of
we improve the estimations of Nm obtained by Gateva-Ivanova and Cameron and Lebed and Vendramin. Following the approach of the first part, in the last section we construct several new counterexamples to the Gateva-Ivanova’s Conjecture.
2010 MSC:
Acknowledgements
We thank the referee for careful reading of this article.