Negative K-Theory of Generalized Quaternion Groups and Binary Polyhedral Groups |
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| Authors: | Bruce A Magurn |
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| Institution: | 1. Department of Mathematics , Miami University , Oxford , Ohio , USA magurnba@miamioh.edu |
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| Abstract: | 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. |
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| Keywords: | Binary polyhedral group CP-group Group ring Lower K-theory Negative K-theory Quaternion |
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