Dice periodic groups
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916669843046400 |
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| author | Petrogradsky, Victor |
| author_facet | Petrogradsky, Victor |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_00838 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dice periodic groups Petrogradsky, Victor Group Theory Rings and Algebras 20E08, 20F50 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. |
| title | Dice periodic groups |
| topic | Group Theory Rings and Algebras 20E08, 20F50 |
| url | https://arxiv.org/abs/2504.00838 |