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A TORSION PROJECTIVE CLASS FOR A GROUP ALGEBRA

Published online by Cambridge University Press:  01 January 2000

IAN J. LEARY
IAN J. LEARY
Affiliation:
Faculty of Mathematical Studies, University of Southampton, Southampton SO17 1BJ
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Abstract

Let G be the group given by the following presentation:

formula here

The subgroup generated by ab is infinite-cyclic and normal, with quotient the dihedral group of order 6, so G is cyclic-by-finite. The subgroups H = 〈a, c〉 and K = 〈b, c〉 are both dihedral of order 6, and G is isomorphic to the free product of H and K amalgamating L = H∩K. We study K0(kG), the Grothendieck group of isomorphism classes of finitely generated projective kG-modules, and, in particular, the dependence of K0(kG) on the choice of field k. As usual, let ℚ, ℝ and [Copf ] stand for the rationals, reals and complex numbers, respectively. We prove the following.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 32 , Issue 1 , January 2000 , pp. 75 - 77
Copyright
© The London Mathematical Society 2000

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