6533b7d5fe1ef96bd126455c

RESEARCH PRODUCT

The set of conjugacy class sizes of a finite group does not determine its solvability

Gabriel Navarro

subject

Set (abstract data type)Discrete mathematicsMathematics::Group TheoryFinite groupTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESTheoryofComputation_COMPUTATIONBYABSTRACTDEVICESAlgebra and Number TheoryConjugacy classTheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITYComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONMathematicsofComputing_DISCRETEMATHEMATICSMathematics

description

Abstract We find a pair of groups, one solvable and the other non-solvable, with the same set of conjugacy class sizes.

yearjournalcountryeditionlanguage
2014-08-01Journal of Algebra
https://doi.org/10.1016/j.jalgebra.2014.04.012