0000000000425084

AUTHOR

María José Felipe

showing 2 related works from this author

Nilpotent and abelian Hall subgroups in finite groups

2015

[EN] We give a characterization of the finite groups having nilpotent or abelian Hall pi-subgroups that can easily be verified using the character table.

AlgebraNilpotentPure mathematicsApplied MathematicsGeneral MathematicsSylow theoremsabelian Hall subgroupsAbelian groupSYLOWMATEMATICA APLICADAnilpotent all subgroupsfinite groupsMathematics
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Powers of conjugacy classes in a finite groups

2020

[EN] The aim of this paper is to show how the number of conjugacy classes appearing in the product of classes affect the structure of a finite group. The aim of this paper was to show several results about solvability concerning the case in which the power of a conjugacy class is a union of one or two conjugacy classes. Moreover, we show that the above conditions can be determined through the character table of the group.

Finite groupbusiness.industryApplied Mathematics010102 general mathematics4904 Pure MathematicsPower of conjugacy classes01 natural sciencesFinite groupsConjugacy classesMathematics::Group TheoryConjugacy classHospitalitySolvability0103 physical sciences49 Mathematical Sciences010307 mathematical physicsSociologyCharacters0101 mathematicsbusinessMATEMATICA APLICADAHumanitiesMatemàtica
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