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PreprintCC BY 4.0arXiv

The Kemper--Malle conjecture and isolated linear quotient singularities

Abstract

We prove the Kemper--Malle conjecture, which provides a modular analogue of the Chevalley--Shephard--Todd theorem. As a consequence, the classification of isolated linear quotient singularities over an algebraically closed field of positive characteristic reduces to the classical Zassenhaus--Vincent--Wolf classification.

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BibTeX
@misc{chen2026kempermalle,
  title = {{The Kemper--Malle conjecture and isolated linear quotient singularities}},
  author = {Yang Chen},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.29849},
  eprint = {2610.29849},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.29849},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - The Kemper--Malle conjecture and isolated linear quotient singularities
AU  - Yang Chen
PY  - 2026
DA  - 2026/10/21
PB  - arXiv
DO  - 10.48550/arxiv.2610.29849
UR  - https://arxiv.org/abs/2610.29849
AB  - We prove the Kemper--Malle conjecture, which provides a modular analogue of the Chevalley--Shephard--Todd theorem. As a consequence, the classification of isolated linear quotient singularities over an algebraically closed field of positive characteristic reduces to the classical Zassenhaus--Vincent--Wolf classification.
ER  -