تقرير
On the Iwasawa theory of Cayley graphs
العنوان: | On the Iwasawa theory of Cayley graphs |
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المؤلفون: | Ghosh, Sohan, Ray, Anwesh |
سنة النشر: | 2024 |
المجموعة: | Mathematics |
مصطلحات موضوعية: | Mathematics - Number Theory, Mathematics - Combinatorics, Mathematics - Group Theory, 11R23, 05C25, 05C31, 05C50 |
الوصف: | This paper explores Iwasawa theory from a graph theoretic perspective, focusing on the algebraic and combinatorial properties of Cayley graphs. Using representation theory, we analyze Iwasawa-theoretic invariants within $\mathbb{Z}_\ell$-towers of Cayley graphs, revealing connections between graph theory, number theory, and group theory. Key results include the factorization of associated Iwasawa polynomials and the decomposition of $\mu$- and $\lambda$-invariants. Additionally, we apply these insights to complete graphs, establishing conditions under which these invariants vanish. Comment: Version 1: 20 pages |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2405.04361 |
رقم الأكسشن: | edsarx.2405.04361 |
قاعدة البيانات: | arXiv |
الوصف غير متاح. |