Groups with few 𝑝’-character degrees in the principal block

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

Autoren

  • Eugenio Giannelli
  • Noelia Rizo
  • Benjamin Sambale
  • A. A. Schaeffer Fry

Organisationseinheiten

Externe Organisationen

  • UniversitĂ  degli Studi di Firenze (UniFi)
  • Metropolitan State University of Denver (MSU)
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Details

OriginalspracheEnglisch
Seiten (von - bis)4597-4614
Seitenumfang18
FachzeitschriftProceedings of the American Mathematical Society
Jahrgang148
Ausgabenummer11
PublikationsstatusVeröffentlicht - Nov. 2020

Abstract

Let p ≥ 5 be a prime and let G be a finite group. We prove that G is p-solvable of p-length at most 2 if there are at most two distinct p-character degrees in the principal p-block of G. This generalizes a theorem of Isaacs-Smith as well as a recent result of three of the present authors.

ASJC Scopus Sachgebiete

Zitieren

Groups with few 𝑝’-character degrees in the principal block. / Giannelli, Eugenio; Rizo, Noelia; Sambale, Benjamin et al.
in: Proceedings of the American Mathematical Society, Jahrgang 148, Nr. 11, 11.2020, S. 4597-4614.

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

Giannelli E, Rizo N, Sambale B, Schaeffer Fry AA. Groups with few 𝑝’-character degrees in the principal block. Proceedings of the American Mathematical Society. 2020 Nov;148(11):4597-4614. doi: 10.1090/proc/15143
Giannelli, Eugenio ; Rizo, Noelia ; Sambale, Benjamin et al. / Groups with few 𝑝’-character degrees in the principal block. in: Proceedings of the American Mathematical Society. 2020 ; Jahrgang 148, Nr. 11. S. 4597-4614.
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AU - Schaeffer Fry, A. A.

N1 - Funding Information: Received by the editors September 18, 2019. 2010 Mathematics Subject Classification. Primary 20C15, 20C30, 20C33. Key words and phrases. p′-character degrees, principal block. The second author was partially supported by the Spanish Ministerio de Ciencia e Innovación PID2019-103854GB-I00 and FEDER funds. The third author was supported by the German Research Foundation (SA 2864/1-1 and SA 2864/3-1). The fourth author was partially supported by a grant from the National Science Foundation (Award No. DMS-1801156). Part of this work was completed while the second and fourth authors were in residence at the Mathematical Sciences Research Institute in Berkeley, CA, during Summer 2019 under grants from the National Security Agency (Award No. H98230-19-1-0119), The Lyda Hill Foundation, The McGovern Foundation, and Microsoft Research.

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