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Total rings of quotients of higher dimensional Iwasawa algebras
Abstract
Let 𝒢=HrtimesΓ be a semidirect product of a finite group H with Γ=ℤpd, the direct product of finitely many copies of the additive group of the p-adic integers. In the case d=1, Iwasawa algebras of such profinite groups were studied by Ritter--Weiss, Lau, Nickel, and the author. We generalise these results to all d≥1, describing the Wedderburn decomposition of the total ring of quotients of the Iwasawa algebra of 𝒢.
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BibTeX
@misc{forras2026total,
title = {{Total rings of quotients of higher dimensional Iwasawa algebras}},
author = {Ben Forrás},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.29956},
eprint = {2609.29956},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.29956},
}
RIS
TY - UNPB
TI - Total rings of quotients of higher dimensional Iwasawa algebras
AU - Ben Forrás
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.29956
UR - https://arxiv.org/abs/2609.29956
AB - Let 𝒢=HrtimesΓ be a semidirect product of a finite group H with Γ=ℤ_p^d, the direct product of finitely many copies of the additive group of the p-adic integers. In the case d=1, Iwasawa algebras of such profinite groups were studied by Ritter--Weiss, Lau, Nickel, and the author. We generalise these results to all d≥1, describing the Wedderburn decomposition of the total ring of quotients of the Iwasawa algebra of 𝒢.
ER -