6533b7d6fe1ef96bd1266e8e

RESEARCH PRODUCT

Rationality and Sylow 2-subgroups

Gabriel NavarroJoan Tent

subject

Pure mathematicsFinite groupConjugacy classGeneral MathematicsComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONSylow theoremsRationalityMathematics

description

AbstractLet G be a finite group. If G has a cyclic Sylow 2-subgroup, then G has the same number of irreducible rational-valued characters as of rational conjugacy classes. These numbers need not be the same even if G has Klein Sylow 2-subgroups and a normal 2-complement.

https://doi.org/10.1017/s0013091509000868