Vol. 79, No. 2, 1978

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Images of SK1ZG

Bruce Magurn

Vol. 79 (1978), No. 2, 531–539

The computation of SK1ZG for finite nonabelian groups G remains a difficult problem. Few examples are known in which SK1ZG is nontrivial. One way to uncover nontrivial elements is to examine the homomorphic images of SK1ZG under K1() of ring maps ZG Λ. Such images are investigated here in the cases where Λ is a commutative ring, a noncommutative order or a semisimple artinian image of ZG. Even trivial images illuminate the structure of SK1ZG through K-theory exact sequences.

Mathematical Subject Classification 2000
Primary: 18F25
Secondary: 16A54
Received: 24 January 1978
Published: 1 December 1978
Bruce Magurn
Miami University
Oxford OH
United States