Dice periodic groups
Group Theory
2025-04-02 v1 Rings and Algebras
Abstract
We construct a family of finitely generated infinite periodic groups. The basic example is a 2-group, called the tetrahedron group. We generalize the construction by suggesting a family of infinite finitely generated dice groups. We provide weak conditions under which dice groups are periodic, where orders of elements are products involving finitely many given primes.
Cite
@article{arxiv.2504.00838,
title = {Dice periodic groups},
author = {Victor Petrogradsky},
journal= {arXiv preprint arXiv:2504.00838},
year = {2025}
}