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PreprintarXiv licencearXiv

On the number of ℓ-regular conjugacy classes

  • Zhicheng Feng
Open at sourcePDFDOICite

Abstract

In this paper, we prove that for ℓ>5, the number of ℓ-regular conjugacy classes of a finite group is at least that of the normalizer of a Sylow ℓ-subgroup.

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Cite

BibTeXRIS
BibTeX
@misc{feng2026number,
  title = {{On the number of $\ell$-regular conjugacy classes}},
  author = {Zhicheng Feng},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.32438},
  eprint = {2609.32438},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.32438},
}
RIS
TY  - UNPB
TI  - On the number of ℓ-regular conjugacy classes
AU  - Zhicheng Feng
PY  - 2026
DA  - 2026/09/26
PB  - arXiv
DO  - 10.48550/arxiv.2609.32438
UR  - https://arxiv.org/abs/2609.32438
AB  - In this paper, we prove that for ℓ>5, the number of ℓ-regular conjugacy classes of a finite group is at least that of the normalizer of a Sylow ℓ-subgroup.
ER  -