Nilpotent and abelian hall subgroups in finite groups

Antonio Beltrán; Marìa José Felipe; Gunter Malle; Alexander Moretó; Gabriel Navarro; Lucia Sanus; Ronald Solomon; Pham Huu Tiep

doi:10.1090/tran/6381

Nilpotent and abelian hall subgroups in finite groups

Antonio Beltrán, Marìa José Felipe, Gunter Malle, Alexander Moretó, Gabriel Navarro, Lucia Sanus, Ronald Solomon, Pham Huu Tiep

Mathematics

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

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

Original language	English (US)
Pages (from-to)	2497-2513
Number of pages	17
Journal	Transactions of the American Mathematical Society
Volume	368
Issue number	4
DOIs	https://doi.org/10.1090/tran/6381
State	Published - Apr 2016

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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title = "Nilpotent and abelian hall subgroups in finite groups",

abstract = "We give a characterization of the finite groups having nilpotent or abelian Hall π-subgroups that can easily be verified using the character table.",

author = "Antonio Beltr{\'a}n and Felipe, {Mar{\`i}a Jos{\'e}} and Gunter Malle and Alexander Moret{\'o} and Gabriel Navarro and Lucia Sanus and Ronald Solomon and Tiep, {Pham Huu}",

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AU - Beltrán, Antonio

AU - Felipe, Marìa José

AU - Malle, Gunter

AU - Moretó, Alexander

AU - Navarro, Gabriel

AU - Sanus, Lucia

AU - Solomon, Ronald

AU - Tiep, Pham Huu

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N2 - We give a characterization of the finite groups having nilpotent or abelian Hall π-subgroups that can easily be verified using the character table.

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JF - Transactions of the American Mathematical Society

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Nilpotent and abelian hall subgroups in finite groups

Abstract

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