PreprintCC BY 4.0arXiv
Almost Trivial Units in Group Rings
Abstract
We find all ring of integers, R, and finite groups G, such that RG has almost trivial units. Moreover, for such a group ring we determine the Swan subgroup of its locally free classgroup
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BibTeX
@misc{shani2026almost,
title = {{Almost Trivial Units in Group Rings}},
author = {Efrat Shani and Anupam Srivastav},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.22560},
eprint = {2609.22560},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.22560},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Almost Trivial Units in Group Rings
AU - Efrat Shani
AU - Anupam Srivastav
PY - 2026
DA - 2026/09/18
PB - arXiv
DO - 10.48550/arxiv.2609.22560
UR - https://arxiv.org/abs/2609.22560
AB - We find all ring of integers, R, and finite groups G, such that RG has almost trivial units. Moreover, for such a group ring we determine the Swan subgroup of its locally free classgroup
ER -