arXiv:1401.6268 Abstract | arXiv Analytics

arXiv:1401.6268 [math.GR]Abstract References Reviews Resources

On the rings of Fricke characters of free abelian groups

Published 2014-01-24Version 1

In this paper, we study the structure of the rings of Fricke characters of free abelian groups. More precisely, we consider a descending filtration of ideals in the ring, and give a basis of its graded quotients. Then by using this fact, we show that the ring of Fricke characters of a free aberian group is an integral domain.

Comments: 16 pages

Categories: math.GR

Keywords: free abelian groups, fricke characters, free aberian group, integral domain, graded quotients

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