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arXiv · 2504.00838

Dice periodic groups

Victor Petrogradsky
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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.

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Victor Petrogradsky. 2025-04-01. Dice periodic groups. https://arxiv.org/abs/2504.00838

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