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PreprintCC BY-NC-SA 4.0arXiv

Finite abelian groups are Schur multipliers of finite solvable groups

  • Derek F. Holt
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Abstract

We prove that every finite abelian group arises as the Schur multiplier of a finite solvable group, from which it can be deduced that every finite abelian group is the knot group of some extension of number fields.

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Cite

BibTeXRIS
BibTeX
@misc{holt2026finite,
  title = {{Finite abelian groups are Schur multipliers of finite solvable groups}},
  author = {Derek F. Holt},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.01312},
  eprint = {2610.01312},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.01312},
  note = {CC BY-NC-SA 4.0},
}
RIS
TY  - UNPB
TI  - Finite abelian groups are Schur multipliers of finite solvable groups
AU  - Derek F. Holt
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.01312
UR  - https://arxiv.org/abs/2610.01312
AB  - We prove that every finite abelian group arises as the Schur multiplier of a finite solvable group, from which it can be deduced that every finite abelian group is the knot group of some extension of number fields.
ER  -