Orders of Products of Slanted Class Transpositions

Abstract

In the present work, we continue the research initiated in the preprint: V. G. Bardakov, A. L. Iskra, Orders of products of horizontal class transpositions, arXiv:2409.13341, and related to S. Kohl's question on the orders of products of pairs of class transpositions. In the preprint, an answer was given to S. Kohl's question for horizontal class transpositions. In the present work, the products of pairs of slanted class transpositions are considered, and under certain conditions, their orders are determined, with it being established that the number of different orders is finite.