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arXiv · 1006.5752

Solomon's induction in quasi-elementary groups

Tim Dokchitser
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Abstract

Given a finite group G, we address the following question: which multiples of the trivial representation are linear combinations of inductions of trivial representations from proper subgroups of G? By Solomon's induction theorem, all multiples are if G is not quasi-elementary. We complement this by showing that all multiples of p are if G is p-quasi-elementary and not cyclic, and that this is best possible.

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Tim Dokchitser. 2010-06-30. Solomon's induction in quasi-elementary groups. https://doi.org/10.1515/jgt.2010.040

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