PreprintCC BY 4.0arXiv
Iwasawa theory of (directed) Cayley graphs
Abstract
In this article, we prove the Defect Conjecture for Cayley graphs of abelian groups, dihedral groups, and groups of the form ℤ/pℤ rtimes ℤ/(p−1)ℤ where p≥ 3 is a prime. We also compute the Iwasawa invariants of the Bowen--Franks groups associated with these graphs in several cases.
Related
- Unramified Geometric Iwasawa theory of function fields
- Construction of Galois modules describing ideal class groups and applications to Iwasawa theory
- Universal norms of partially de Rham B-pairs and perfectness in Lubin--Tate Iwasawa theory
- Vanishing of Sha(A/K)[P∞] and its consequences for the anticyclotomic Iwasawa theory of GL2-abelian varieties
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BibTeX
@misc{kundu2026iwasawa,
title = {{Iwasawa theory of (directed) Cayley graphs}},
author = {Debanjana Kundu and Katharina Müller and Alexis newton and Chloe Stewart and Yidi Wang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.16702},
eprint = {2609.16702},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.16702},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Iwasawa theory of (directed) Cayley graphs
AU - Debanjana Kundu
AU - Katharina Müller
AU - Alexis newton
AU - Chloe Stewart
AU - Yidi Wang
PY - 2026
DA - 2026/09/17
PB - arXiv
DO - 10.48550/arxiv.2609.16702
UR - https://arxiv.org/abs/2609.16702
AB - In this article, we prove the Defect Conjecture for Cayley graphs of abelian groups, dihedral groups, and groups of the form ℤ/pℤ rtimes ℤ/(p−1)ℤ where p≥ 3 is a prime. We also compute the Iwasawa invariants of the Bowen--Franks groups associated with these graphs in several cases.
ER -