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

Research output: Contribution to journal β€Ί Article β€Ί Research β€Ί peer review

Authors

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

Research Organisations

External Research Organisations

  • University of Florence (UniFi)
  • Metropolitan State University of Denver (MSU)
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Details

Original languageEnglish
Pages (from-to)4597-4614
Number of pages18
JournalProceedings of the American Mathematical Society
Volume148
Issue number11
Publication statusPublished - Nov 2020

Abstract

Let p β‰₯ 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.

Keywords

    P-character degrees, Principal block

ASJC Scopus subject areas

Cite this

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, Vol. 148, No. 11, 11.2020, p. 4597-4614.

Research output: Contribution to journal β€Ί Article β€Ί Research β€Ί 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 ; Vol. 148, No. 11. pp. 4597-4614.
Download
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