简介:Itisawell-knownfactthatcharactersofafinitegroupcangiveimportantinformationaboutthestructureofthegroup.Itwasalsoprovedbythethirdauthorthatafinitesimplegroupcanbeuniquelydeterminedbyitscharactertable.Heretheauthorsattempttoinvestigatehowtocharacterizeafinitealmost-simplegroupbyusinglessinformationofitscharactertable,andsuccessfullycharacterizetheautomorphismgroupsofMathieugroupsbytheirordersandatmosttwoirreduciblecharacterdegreesoftheircharactertables.