Nilpotent and Abelian Hall Subgroups in Finite Groups

Alexander Moret\'o; Antonio Beltr\'an; Gabriel Navarro; Gunter Malle; Lucia Sanus; Mar\'ia Jos\'e Felipe; Pham Huu Tiep

arxiv: 1310.8413 · v1 · pith:6SSXASEGnew · submitted 2013-10-31 · 🧮 math.GR · math.RT

Nilpotent and Abelian Hall Subgroups in Finite Groups

Antonio Beltr\'an , Mar\'ia Jos\'e Felipe , Gunter Malle , Alexander Moret\'o , Gabriel Navarro , Lucia Sanus , Pham Huu Tiep This is my paper

classification 🧮 math.GR math.RT

keywords abelianfinitegroupshallnilpotentsubgroupscharactercharacterization

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We give a characterization of the finite groups having nilpotent or abelian Hall $\pi$-subgroups which can easily be verified from the character table.

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Nilpotent and Abelian Hall Subgroups in Finite Groups

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