Abstract
Let H H be a subgroup of G G and let I I be the (two-sided) ideal of Z G {\mathbf {Z}}G generated by ω ( Z H ) \omega ({\mathbf {Z}}H) . In this note, we show that I I is indecomposable as an ideal in Z G {\mathbf {Z}}G . This extends a result of Linnell [1] and simplifies his argument somewhat.
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