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RESEARCH PRODUCT

Sylow Normalizers with a Normal Sylow 2-Subgroup

Gabriel NavarroLucia Sanus

subject

Pure mathematicsSolvable groupGeneral MathematicsComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONSylow theoremsMathematics

description

AbstractIf G is a finite solvable group and p is a prime, then the normalizer of a Sylow p-subgroup has a normal Sylow 2-subgroup if and only if all non-trivial irreducible real 2-Brauer characters of G have degree divisible by p.

https://doi.org/10.1017/s0013091506001064