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Group Elements Whose Character Values are Roots of Unity

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

Authors

  • Mark L. Lewis
  • Lucia Morotti
  • Hung P. Tong-Viet

Research Organisations

External Research Organisations

  • Kent State University
  • Binghamton University
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    • Citation Indexes: 1
  • Captures
    • Readers: 2
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Details

Original languageEnglish
Pages (from-to)379-388
Number of pages10
JournalVietnam Journal of Mathematics
Volume52
Issue number2
Early online date8 Mar 2023
Publication statusPublished - Apr 2024

Abstract

We classify all finite groups G that possess an element x ∈ G such that every irreducible character of G takes a root of unity value at x.

Keywords

    20C20, Nonvanishing, Primary 20C15, Root of unity, Secondary 20D10

ASJC Scopus subject areas

Cite this

Group Elements Whose Character Values are Roots of Unity. / Lewis, Mark L.; Morotti, Lucia; Tong-Viet, Hung P.
In: Vietnam Journal of Mathematics, Vol. 52, No. 2, 04.2024, p. 379-388.

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

Lewis, ML, Morotti, L & Tong-Viet, HP 2024, 'Group Elements Whose Character Values are Roots of Unity', Vietnam Journal of Mathematics, vol. 52, no. 2, pp. 379-388. https://doi.org/10.1007/s10013-023-00611-9, https://doi.org/10.48550/arXiv.2209.08089
Lewis, M. L., Morotti, L., & Tong-Viet, H. P. (2024). Group Elements Whose Character Values are Roots of Unity. Vietnam Journal of Mathematics, 52(2), 379-388. https://doi.org/10.1007/s10013-023-00611-9, https://doi.org/10.48550/arXiv.2209.08089
Lewis ML, Morotti L, Tong-Viet HP. Group Elements Whose Character Values are Roots of Unity. Vietnam Journal of Mathematics. 2024 Apr;52(2):379-388. Epub 2023 Mar 8. doi: 10.1007/s10013-023-00611-9, 10.48550/arXiv.2209.08089
Lewis, Mark L. ; Morotti, Lucia ; Tong-Viet, Hung P. / Group Elements Whose Character Values are Roots of Unity. In: Vietnam Journal of Mathematics. 2024 ; Vol. 52, No. 2. pp. 379-388.
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