On two Abelian Groups Related to the Galois Top
Numerical Analysis
2026-04-01 v2 Numerical Analysis
Mathematical Physics
Group Theory
math.MP
Abstract
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.
Cite
@article{arxiv.2603.23716,
title = {On two Abelian Groups Related to the Galois Top},
author = {Helmut Ruhland},
journal= {arXiv preprint arXiv:2603.23716},
year = {2026}
}
Comments
4 pages