Skip to content
DraconiticResearch
Search Sources API
182,469 studies31 sourcesUpdated 3 min ago
PreprintarXiv licencearXiv

An equivariant version of Gabber's lemma

  • Filippo Belfiori
Open at sourcePDFDOICite

Abstract

Let G be a finite abelian group, and let k be an infinite perfect field containing a primitive root of unity of order the exponent of G. We prove that the G-equivariant version of Gabber's presentation lemma proposed by Bachmann holds over k if and only if G is cyclic of p-power order, for some prime p.

Related

  1. The Composition Lemma for n-dependence
    Artem Chernikov, Yuyan He
    arXivPreprintarXiv licenceFull textCombinatorics & discrete mathematicsLogic & foundationsarXiv
  2. The Kaplansky-Walker Lemma for additive categories
    Simion Breaz, Cristian Rafiliu
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv
  3. A Lê number addendum to the Morse Splitting Lemma
    David B. Massey
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv
  4. Data-Driven Control in Infinite-Dimensional Spaces: Fundamental Lemma and Applications
    Daniel López-Montero
    arXivPreprintCC BY 4.0Full textOptimisation & controlarXiv
  5. No Connectedness Lemma for Alexandrov spaces
    Jan Nienhaus, Dennis Wulle
    arXivPreprintarXiv licenceFull textGeometry & topologyarXiv

Cite

BibTeXRIS
BibTeX
@misc{belfiori2026equivariant,
  title = {{An equivariant version of Gabber's lemma}},
  author = {Filippo Belfiori},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.21771},
  eprint = {2609.21771},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.21771},
}
RIS
TY  - UNPB
TI  - An equivariant version of Gabber's lemma
AU  - Filippo Belfiori
PY  - 2026
DA  - 2026/09/18
PB  - arXiv
DO  - 10.48550/arxiv.2609.21771
UR  - https://arxiv.org/abs/2609.21771
AB  - Let G be a finite abelian group, and let k be an infinite perfect field containing a primitive root of unity of order the exponent of G. We prove that the G-equivariant version of Gabber's presentation lemma proposed by Bachmann holds over k if and only if G is cyclic of p-power order, for some prime p.
ER  -