PreprintCC BY 4.0arXiv
Transfer kernels and the Schur multiplier
Abstract
In this article we prove that if H is a normal subgroup of a finite group G with G/H cyclic, then the kernel of the transfer map G/G' ⟶ H/H' equals (G:H) times the order of the cokernel of the natural map M(H) ⟶ M(G).
Related
- The Schur multiplier of SL2 and Dedekind zeta-functions over S-integers
- From smooth to discontinuous kernels: a variance transfer principle for hyperuniform processes
- Small and large quasi-kernels: a weighted transfer theorem
- Sharp bounds in Ionescu--Wainger multiplier theorem for canonical fractions
- Uniform comparison of multiplier and test ideals for polynomials with affinely independent support
BibTeX
@misc{lemmermeyer2026transfer,
title = {{Transfer kernels and the Schur multiplier}},
author = {Franz Lemmermeyer},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.38640},
eprint = {2610.38640},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.38640},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Transfer kernels and the Schur multiplier
AU - Franz Lemmermeyer
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2610.38640
UR - https://arxiv.org/abs/2610.38640
AB - In this article we prove that if H is a normal subgroup of a finite group G with G/H cyclic, then the kernel of the transfer map G/G' ⟶ H/H' equals (G:H) times the order of the cokernel of the natural map M(H) ⟶ M(G).
ER -