On restriction of characters to defect groups

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

Authors

  • Eugenio Giannelli
  • Benjamin Sambale

External Research Organisations

  • University of Cambridge
  • University of Kaiserslautern
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Details

Original languageEnglish
Pages (from-to)423-433
Number of pages11
JournalJournal of algebra
Volume558
Early online date6 Aug 2019
Publication statusPublished - 15 Sept 2020
Externally publishedYes

Abstract

We put forward a blockwise version of a recent conjecture of [6] on finite groups. Let B be a p-block of a finite group G with defect group D. Let χ∈Irr(B) be a character with positive height. In this note we conjecture that the number of distinct linear constituents of the restriction χD is 0 or at least p. We prove that this is indeed the case for various classes of finite groups and p-blocks.

Keywords

    Character restrictions, Defect groups

ASJC Scopus subject areas

Cite this

On restriction of characters to defect groups. / Giannelli, Eugenio; Sambale, Benjamin.
In: Journal of algebra, Vol. 558, 15.09.2020, p. 423-433.

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

Giannelli E, Sambale B. On restriction of characters to defect groups. Journal of algebra. 2020 Sept 15;558:423-433. Epub 2019 Aug 6. doi: 10.1016/j.jalgebra.2019.07.011
Giannelli, Eugenio ; Sambale, Benjamin. / On restriction of characters to defect groups. In: Journal of algebra. 2020 ; Vol. 558. pp. 423-433.
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