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A Characterization of the Class of Finite Groups with Nilpotent Derived Subgroup
Author(s) -
BallesterBolinches A.,
Ezquerro L.M.,
PedrazaAguilera M.C.
Publication year - 2002
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200206)239:1<5::aid-mana5>3.0.co;2-b
Subject(s) - mathematics , commutator subgroup , fitting subgroup , characteristic subgroup , omega and agemo subgroup , nilpotent , normal subgroup , class (philosophy) , characterization (materials science) , nilpotent group , commutator , index of a subgroup , maximal subgroup , subgroup , combinatorics , pure mathematics , group (periodic table) , p group , torsion subgroup , algebra over a field , chemistry , symmetric group , physics , artificial intelligence , computer science , optics , abelian group , elementary abelian group , lie conformal algebra , organic chemistry
Abstract The class of all finite groups with nilpotent commutator subgroup is characterized as the largest subgroup‐closed saturated formation for which the ‐residual of a group generated by two ‐subnormal subgroups is the subgroup generated by their –residuals.