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On the K-theory of the quaternion group

Published online by Cambridge University Press:  26 February 2010

M. E. Keating
M. E. Keating
Affiliation:
Imperial College, London, S.W.7.
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Extract

The main purpose of this paper is to evaluate the Whitehead group K1 (Zπ) of the quaternion group π of order 8. We show that the natural mapping of the units ± π of Zπ into K1(Zπ) induces an isomorphism between K1(Zπ) and ± V, where V, Klein's 4-group, is the commutator quotient group of π.

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Type
Research Article
Information
Mathematika , Volume 20 , Issue 1 , June 1973 , pp. 59 - 62
Copyright
Copyright © University College London 1973

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References

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