6533b838fe1ef96bd12a44df
RESEARCH PRODUCT
Defect zero characters predicted by local structure
Geoffrey R. RobinsonGabriel NavarroGunter Mallesubject
010101 applied mathematicsPure mathematicsFinite groupGeneral Mathematics010102 general mathematicsZero (complex analysis)Order (group theory)0101 mathematics01 natural sciencesLocal structurePrime (order theory)Mathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-03-29 | Bulletin of the London Mathematical Society |