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math.GR2013
Nilpotent and Abelian Hall Subgroups in Finite Groups
Antonio Beltrán, María José Felipe, Gunter Malle +4
We give a characterization of the finite groups having nilpotent or abelian Hall -subgroups which can easily be verified from the character table.
math.GR2013
Variations of Landau's theorem for p-regular and p-singular conjugacy classes
Alexander Moreto, Hung Ngoc Nguyen
The well-known Landau's theorem states that, for any positive integer , there are finitely many isomorphism classes of finite groups with exactly (conjugacy) classes. We stu…