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The class groups of quaternion and dihedral 2-groups

Published online by Cambridge University Press:  26 February 2010

A. Fröhlich ,
M. E. Keating  and
S. M. J. Wilson
A. Fröhlich
Affiliation:
King's College, London
M. E. Keating
Affiliation:
Imperial College, London
S. M. J. Wilson
Affiliation:
University of Durham
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Extract

Let be a = ℤ-order in A, a finite dimensional Q-algebra. K0() denotes the Grothendieck group of projective right -modules. locally isomorphic to } is a subgroup of K0() and is called the locally free classgroup of . (If = ℤΓ for some finite group Γ then as all ℤΓ projectives are locally free [12].)

Type
Research Article
Information
Mathematika , Volume 21 , Issue 1 , June 1974 , pp. 64 - 71
Copyright
Copyright © University College London 1974

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References

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