Solomon's induction in quasi-elementary groups
Group Theory
2013-09-23 v1
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.
Cite
@article{arxiv.1006.5752,
title = {Solomon's induction in quasi-elementary groups},
author = {Tim Dokchitser},
journal= {arXiv preprint arXiv:1006.5752},
year = {2013}
}
Comments
2 pages, to appear in J. Group Theory