Negative K-Theory of Generalized Quaternion Groups and Binary Polyhedral Groups

作者：Magurn Bruce A^*

来源：Communications in Algebra, 2013, 41(11): 4146-4160.

DOI：10.1080/00927872.2012.692005

• Binary polyhedral group
• CP-group
• Group ring
• Lower K-theory
• Negative K-theory
• Quaternion
• Primary 19D35
• Secondary 20C11
• 20E45
• 20F50

Classical group representation theory is used to determine which finite groups have finite negative K-theory. There follows a computation of the K-1 of integral group rings ZG for all finite non-abelian subgroups of the group SU(2) of unit quaternions. In principle, the method applies to any finite group.

• 出版日期2013-11-2