Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.23716 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911555403120640 |
|---|---|
| author | Ruhland, Helmut |
| author_facet | Ruhland, Helmut |
| contents | In mathematical physics the Galois top, introduced by S. Adlaj, possesses a fixed point on one of two Galois axes through its center of mass. This heavy top has two algebraic motion invariants and an additional transcendental motion-invariant. This third invariant depends on an antiderivative of a variable in the canonical phase space. In this article an abelian semigroup and an abelian group are defined that are related to the application of the Huygens-Steiner theorem to points on the Galois axis of a rigid body. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_23716 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On two Abelian Groups Related to the Galois Top Ruhland, Helmut Numerical Analysis Mathematical Physics Group Theory 20K99, 20M14, 20M20 In mathematical physics the Galois top, introduced by S. Adlaj, possesses a fixed point on one of two Galois axes through its center of mass. This heavy top has two algebraic motion invariants and an additional transcendental motion-invariant. This third invariant depends on an antiderivative of a variable in the canonical phase space. In this article an abelian semigroup and an abelian group are defined that are related to the application of the Huygens-Steiner theorem to points on the Galois axis of a rigid body. |
| title | On two Abelian Groups Related to the Galois Top |
| topic | Numerical Analysis Mathematical Physics Group Theory 20K99, 20M14, 20M20 |
| url | https://arxiv.org/abs/2603.23716 |