0000000000077443

AUTHOR

A. A. Schaeffer Fry

showing 2 related works from this author

Groups with few $p'$-character degrees

2019

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.

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
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Characters and generation of Sylow 2-subgroups

2021

Pure mathematicsMathematics (miscellaneous)Character tableSylow theoremsMathematicsRepresentation Theory of the American Mathematical Society
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