Huppert's Conjecture for alternating groups

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

Authors

  • Christine Bessenrodt
  • Hung P. Tong-Viet
  • Jiping Zhang

Research Organisations

External Research Organisations

  • Kent State University
  • Peking University
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Details

Original languageEnglish
Pages (from-to)353-378
Number of pages26
JournalJournal of algebra
Volume470
Early online date15 Sept 2016
Publication statusPublished - 15 Jan 2017

Abstract

We prove that the alternating groups of degree at least 5 are uniquely determined up to an abelian direct factor by the set of degrees of their irreducible complex representations. This confirms Huppert's Conjecture for alternating groups.

Keywords

    Alternating groups, Character degrees, Huppert's Conjecture

ASJC Scopus subject areas

Cite this

Huppert's Conjecture for alternating groups. / Bessenrodt, Christine; Tong-Viet, Hung P.; Zhang, Jiping.
In: Journal of algebra, Vol. 470, 15.01.2017, p. 353-378.

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

Bessenrodt, C, Tong-Viet, HP & Zhang, J 2017, 'Huppert's Conjecture for alternating groups', Journal of algebra, vol. 470, pp. 353-378. https://doi.org/10.1016/j.jalgebra.2016.09.012
Bessenrodt, C., Tong-Viet, H. P., & Zhang, J. (2017). Huppert's Conjecture for alternating groups. Journal of algebra, 470, 353-378. https://doi.org/10.1016/j.jalgebra.2016.09.012
Bessenrodt C, Tong-Viet HP, Zhang J. Huppert's Conjecture for alternating groups. Journal of algebra. 2017 Jan 15;470:353-378. Epub 2016 Sept 15. doi: 10.1016/j.jalgebra.2016.09.012
Bessenrodt, Christine ; Tong-Viet, Hung P. ; Zhang, Jiping. / Huppert's Conjecture for alternating groups. In: Journal of algebra. 2017 ; Vol. 470. pp. 353-378.
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