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PreprintCC BY-NC-ND 4.0arXiv

Characterizing normal Hall subgroups by character degrees, II

  • Yong Yang
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Abstract

We prove that a Hall π-subgroup H of a finite group G is normal if and only if every irreducible constituent of the permutation character 1HG has π'-degree.

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Cite

BibTeXRIS
BibTeX
@misc{yang2026characterizing,
  title = {{Characterizing normal Hall subgroups by character degrees, II}},
  author = {Yong Yang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.23929},
  eprint = {2609.23929},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.23929},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Characterizing normal Hall subgroups by character degrees, II
AU  - Yong Yang
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.23929
UR  - https://arxiv.org/abs/2609.23929
AB  - We prove that a Hall π-subgroup H of a finite group G is normal if and only if every irreducible constituent of the permutation character 1_H^G has π'-degree.
ER  -