arXiv Open Access 2019

On the distribution of primitive subgroups of $\mathbb{Z}^{d}$ of large covolume

Michael Bersudsky
Lihat Sumber

Abstrak

We prove existence and compute the limiting distribution of the image of rank-$\left(d-1\right)$ primitive subgroups of $\mathbb{Z}^{d}$ of large covolume in the space $X_{d-1,d}$ of homothety classes of rank-$\left(d-1\right)$ discrete subgroups of $\mathbb{R}^{d}$. This extends a theorem of Aka, Einsiedler and Shapira.

Topik & Kata Kunci

Penulis (1)

M

Michael Bersudsky

Format Sitasi

Bersudsky, M. (2019). On the distribution of primitive subgroups of $\mathbb{Z}^{d}$ of large covolume. https://arxiv.org/abs/1908.07165

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2019
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓