IWASAWA THEORY OF GRAPHS AND THEIR DUALS
Abstract
Abstract In this article, we study questions pertaining to ramified Z p d $\mathbb {Z}_p^d$ double struck upper Z Subscript p Superscript d -extensions of a finite connected graph X $X$ upper X . Let X ∞ $X_\infty $ upper X Subscript infinity denote a Z p d $\mathbb {Z}_p^d$ double struck upper Z Subscript p Superscript d ramified derived graph of X $X$ upper X (with d ≥ 1 $d\geq 1$ d greater than or equals 1 ) and Λ $\Lambda $ normal upper Lamda denote the associated Iwasawa algebra. We first prove an asymptotic growth formula in this general setting and show that it is possible to interpret the characteristic ideal of Pic Λ ( X ∞ ) $\mathrm {Pic}_{\Lambda }(X_\infty )$
Fields of Study & Subjects
Graph theory and applications
Finite Group Theory Research
Advanced Graph Theory Research
Publication details
- Journal / source
- Journal of the Australian Mathematical Society
- Publisher
- Cambridge University Press (CUP)
- Volume
- 121
- Issue
- 2
- Pages
- 202–235
- Publication date
- 7 September 2026
- Language
- EN