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

Research output: Contribution to journalArticle

6 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)2497-2513
Number of pages17
JournalTransactions of the American Mathematical Society
Volume368
Issue number4
DOIs
StatePublished - Apr 2016

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Hall Subgroup
Character Table
Finite Group

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

Beltrán, A., Felipe, M. J., Malle, G., Moretó, A., Navarro, G., Sanus, L., ... Tiep, P. H. (2016). Nilpotent and abelian hall subgroups in finite groups. Transactions of the American Mathematical Society, 368(4), 2497-2513. https://doi.org/10.1090/tran/6381
Beltrán, Antonio ; Felipe, Marìa José ; Malle, Gunter ; Moretó, Alexander ; Navarro, Gabriel ; Sanus, Lucia ; Solomon, Ronald ; Tiep, Pham Huu. / Nilpotent and abelian hall subgroups in finite groups. In: Transactions of the American Mathematical Society. 2016 ; Vol. 368, No. 4. pp. 2497-2513.
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Beltrán, A, Felipe, MJ, Malle, G, Moretó, A, Navarro, G, Sanus, L, Solomon, R & Tiep, PH 2016, 'Nilpotent and abelian hall subgroups in finite groups', Transactions of the American Mathematical Society, vol. 368, no. 4, pp. 2497-2513. https://doi.org/10.1090/tran/6381

Nilpotent and abelian hall subgroups in finite groups. / Beltrán, Antonio; Felipe, Marìa José; Malle, Gunter; Moretó, Alexander; Navarro, Gabriel; Sanus, Lucia; Solomon, Ronald; Tiep, Pham Huu.

In: Transactions of the American Mathematical Society, Vol. 368, No. 4, 04.2016, p. 2497-2513.

Research output: Contribution to journalArticle

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Beltrán A, Felipe MJ, Malle G, Moretó A, Navarro G, Sanus L et al. Nilpotent and abelian hall subgroups in finite groups. Transactions of the American Mathematical Society. 2016 Apr;368(4):2497-2513. https://doi.org/10.1090/tran/6381