@article{oai:ynu.repo.nii.ac.jp:00006997, author = {Yamauchi, Kenichi}, issue = {2}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, The structure of the unit group consisting of units of finite order in the character ring of a finite group is well known (see [8]). We also have studied the unit group in the character ring of an alternating group $A_{n}(n¥geq 5)$ . In this article our objective is to construct units of infinite order in the character ring of a finite group concretely, by making use of units in $Z[¥omega]$ where $Z$ is the ring of rational integers, $¥omega$ is a primitive $p$-th root of unity, and $p(¥geq 5)$ is a prime number.}, pages = {89--97}, title = {THE CONSTRUCTION OF UNITS OF INFINITE ORDER IN THE CHARACTER RING OF A FINITE GROUP}, volume = {51}, year = {2005} }