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RESEARCH PRODUCT

Nilpotent and abelian Hall subgroups in finite groups

Pham Huu TiepAlexander MoretóGabriel NavarroLucia SanusGunter MalleAntonio BeltránRonald SolomonMaría José Felipe

subject

AlgebraNilpotentPure mathematicsApplied MathematicsGeneral MathematicsSylow theoremsabelian Hall subgroupsAbelian groupSYLOWMATEMATICA APLICADAnilpotent all subgroupsfinite groupsMathematics

description

[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.

10.1090/tran/6381https://doi.org/10.1090/tran/6381