On a fixed point formula of Navarro–Rizo

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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  • Benjamin Sambale

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OriginalspracheEnglisch
Seiten (von - bis)3629-3634
Seitenumfang6
FachzeitschriftProceedings of the American Mathematical Society
Jahrgang152
Ausgabenummer9
Frühes Online-Datum19 Juli 2024
PublikationsstatusVeröffentlicht - Sept. 2024

Abstract

Let G be a π-separable group with a Hall π-subgroup H or order n. For x ∈ H let λ(x) be the number of Hall π-subgroups of G containing x. We show that Πd|nΠx∈H λ(xd) nd μ(d) = 1, where μ is the Möbius function. This generalizes fixed point formulas for coprime actions by Brauer, Wielandt and Navarro-Rizo. We further investigate an additive version of this formula.

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On a fixed point formula of Navarro–Rizo. / Sambale, Benjamin.
in: Proceedings of the American Mathematical Society, Jahrgang 152, Nr. 9, 09.2024, S. 3629-3634.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Sambale B. On a fixed point formula of Navarro–Rizo. Proceedings of the American Mathematical Society. 2024 Sep;152(9):3629-3634. Epub 2024 Jul 19. doi: 10.48550/arXiv.2401.05289, 10.1090/proc/16936
Sambale, Benjamin. / On a fixed point formula of Navarro–Rizo. in: Proceedings of the American Mathematical Society. 2024 ; Jahrgang 152, Nr. 9. S. 3629-3634.
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