arXiv Open Access 2018

The Monstrous Moonshine Picture

Lieven Le Bruyn

Lihat Sumber

Abstrak

We describe the finite subgraph $\mathfrak{M}$ of Conway's Big Picture required to describe all $171$ genus zero groups appearing in monstrous moonshine. We determine the local structure of $\mathfrak{M}$ and give a purely group-theoretic description of this picture, based on powers of the conjugacy classes $24J$ and $8C$. We expect similar results to hold for umbral moonshine groups and give the details for the largest Mathieu group $M_{24}$.

Topik & Kata Kunci

math.GR math.QA math.RA math.RT

Penulis (1)

Lieven Le Bruyn

Format Sitasi

APA MLA BibTeX

Bruyn, L.L. (2018). The Monstrous Moonshine Picture. https://arxiv.org/abs/1804.04127

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2018
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓