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arXiv · 1605.04205

Defect zero characters predicted by local structure

Gunter Malle·Gabriel Navarro·Geoffrey R. Robinson
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Abstract

Let $G$ be a finite group and let $p$ be a prime. Assume that there exists a prime $q$ dividing $|G|$ which does not divide the order of any $p$-local subgroup of $G$. If $G$ is $p$-solvable or $q$ divides $p-1$, then $G$ has a $p$-block of defect zero. The case $q=2$ is a well-known result by Brauer and Fowler.

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BibTeXRIS

Gunter Malle, Gabriel Navarro, Geoffrey R. Robinson. 2016-05-13. Defect zero characters predicted by local structure. https://arxiv.org/abs/1605.04205

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