Regularity action of abelian linear groups on C^n

Details Regularity action of abelian linear groups on C^n Regularity action of abelian linear groups on C^n

2011-05-24

arxiv.org/abs/1105.4686v3

Mathematics

Dynamical Systems

Scientific paper

In this paper, we give a characterization of the action of any abelian
subgroup G of GL(n, C) on C^n. We prove that any orbit of G is regular with
order m<=2n. Moreover, we give a method to determine this order. In the other
hand, we specify the region of all orbits which are isomorphic. If G is
finitely generated, this characterization is explicit.

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