http://hdl.handle.net/10131/5755
120001740808
紀要論文(departmental bulletin paper)
THE CONSTRUCTION OF UNITS OF INFINITE ORDER IN THE CHARACTER RING OF A FINITE GROUP
en
Other
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.
9000016914936
Yamauchi, Kenichi
00440523
AA0089285X
Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学
Yokohama City University and Yokohama National University
2005
51
2
89
97
2016-09-26
oai:irdb.nii.ac.jp:00822:0001826950
120001740808