6533b835fe1ef96bd129e9c0
RESEARCH PRODUCT
Brauer characters and coprime action
Britta SpäthCarolina Vallejo Rodríguezsubject
Discrete mathematicsModular representation theoryPure mathematicsFinite groupAlgebra and Number TheoryBrauer's theorem on induced charactersCoprime integers010102 general mathematics02 engineering and technologyFixed point021001 nanoscience & nanotechnology01 natural sciencesSimple group0101 mathematicsInvariant (mathematics)Mathematics::Representation Theory0210 nano-technologyBrauer groupMathematicsdescription
Abstract It is an open problem to show that under a coprime action, the number of invariant Brauer characters of a finite group is the number of the Brauer characters of the fixed point subgroup. We prove that this is true if the non-abelian simple groups satisfy a stronger condition.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-07-01 | Journal of Algebra |