6533b7cffe1ef96bd12590c7

RESEARCH PRODUCT

Groups with few $p'$-character degrees

Eugenio GiannelliA. A. Schaeffer FryNoelia Rizo

subject

Finite groupAlgebra and Number Theory010102 general mathematicsPrime number0102 computer and information sciencesGroup Theory (math.GR)01 natural sciencesColumn (database)CombinatoricsCharacter (mathematics)Character table010201 computation theory & mathematicsFOS: MathematicsClassification of finite simple groups0101 mathematicsRepresentation Theory (math.RT)Mathematics - Group TheoryMathematics - Representation TheoryMathematics

description

Abstract We prove a variation of Thompson's Theorem. Namely, if the first column of the character table of a finite group G contains only two distinct values not divisible by a given prime number p > 3 , then O p p ′ p p ′ ( G ) = 1 . This is done by using the classification of finite simple groups.

yearjournalcountryeditionlanguage
2019-04-13
http://arxiv.org/abs/1904.06545