A. L. Iskra

activity

20242026

collaborators

4 papers

math.GR2026

Groups of Class Transpositions with Prescribed Prime Divisors of the Moduli

Alex Iskra

For a set $P$ of odd primes, let $CT_{P} (Z)$ denote the group generated by all class transpositions whose moduli have no odd prime divisor…

math.GR2026

Finite Orders of Products of Two Class Transpositions Divide 840

Alex Iskra

We prove that if the product of two class transpositions has finite order, then its order divides 840. This gives a complete affirmative answer to Question 18.48 in the Kourovka No…

math.GR2025

Orders of Products of Slanted Class Transpositions

V. G. Bardakov, A. L. Iskra

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 r…

math.GR2024

Orders of products of horizontal class transpositions

V. G. Bardakov, A. L. Iskra

The class transposition group $C T (Z)$ was introduced by S. Kohl in 2010. It is a countable subgroup of the permutation group $S y m (Z)$ of the set of integers $\mat…