关于对称群S_6的整群环的Kimmerle猜想

The Kimmerle's Conjecture of the Integral Ring of Symmetric Group with Degree 6

利用Hertweck所推广的Luthar-Passi方法,研究了对称群S6的整群环的正规化挠单位,得到了S6的Kimmerle猜想成立。

Using the LutharPassi method extended by Hertweck,the normalized torsion units of the inte gral group ring of the symmetric group S6 is investigated. As a consequence,the Kimmerle＇s conjecture a bout prime graphs for this group is confirmed.