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The Becker--Gottlieb transfer is not functorial: An example based on units of group rings

  • Georg Lehner
  • Cary Malkiewich
  • Florian Naef
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Abstract

We show by explicit counterexample that the Becker--Gottlieb transfer cannot be made functorial. A different counterexample using rational homotopy theory was discovered concurrently by the third author and Robin Stoll.

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Cite

BibTeXRIS
BibTeX
@misc{lehner2026beckergottlieb,
  title = {{The Becker--Gottlieb transfer is not functorial: An example based on units of group rings}},
  author = {Georg Lehner and Cary Malkiewich and Florian Naef},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.18720},
  eprint = {2610.18720},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.18720},
}
RIS
TY  - UNPB
TI  - The Becker--Gottlieb transfer is not functorial: An example based on units of group rings
AU  - Georg Lehner
AU  - Cary Malkiewich
AU  - Florian Naef
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2610.18720
UR  - https://arxiv.org/abs/2610.18720
AB  - We show by explicit counterexample that the Becker--Gottlieb transfer cannot be made functorial. A different counterexample using rational homotopy theory was discovered concurrently by the third author and Robin Stoll.
ER  -