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Main Authors: Bardakov, V. G., Iskra, A. L.
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2504.08595
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author Bardakov, V. G.
Iskra, A. L.
author_facet Bardakov, V. G.
Iskra, A. L.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2504_08595
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Orders of Products of Slanted Class Transpositions
Bardakov, V. G.
Iskra, A. L.
Group Theory
2010: 20E07, 20F36, 57K12
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.
title Orders of Products of Slanted Class Transpositions
topic Group Theory
2010: 20E07, 20F36, 57K12
url https://arxiv.org/abs/2504.08595