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RESEARCH PRODUCT
On fully ramified Brauer characters
Gabriel NavarroPham Huu TiepBritta Späthsubject
Normal subgroupDiscrete mathematicsModular representation theoryPure mathematicsFinite groupBrauer's theorem on induced charactersGeneral Mathematics010102 general mathematics010103 numerical & computational mathematicsGroup algebra01 natural sciencesCharacter (mathematics)Solvable group0101 mathematicsAlgebraically closed fieldMathematicsdescription
Let Z be a normal subgroup of a finite group, let p≠5 be a prime and let λ∈IBr(Z) be an irreducible G-invariant p-Brauer character of Z. Suppose that λG=eφ for some φ∈IBr(G). Then G/Z is solvable. In other words, a twisted group algebra over an algebraically closed field of characteristic not 5 with a unique class of simple modules comes from a solvable group.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-06-10 | Advances in Mathematics |