# Conjugacy of ${\rm Alt}_5$ and ${\rm SL}(2,5)$ subgroups of $E_8({\bf C})$

### About this Title

**Darrin D. Frey**

Publication: Memoirs of the American Mathematical Society

Publication Year
1998: Volume 133, Number 634

ISBNs: 978-0-8218-0778-1 (print); 978-1-4704-0223-5 (online)

DOI: http://dx.doi.org/10.1090/memo/0634

MathSciNet review: 1423302

MSC: Primary 20G20; Secondary 22E40

### Table of Contents

**Chapters**

- Introduction and preliminaries
- The Dihedral group of order 6
- The Dihedral group of order 10
- The $\mathrm {Alt}_5$ and $\mathrm {SL}(2,5)$ fusion patterns in $G$, $\mathcal {A}$, $\Delta $ and $\Omega $
- Fusion patterns of $\mathrm {Alt}_5$ and $\mathrm {SL}(2,5)$ subgroups of H
- Fusion patterns of $\mathrm {Alt}_5$ subgroups of $\mathcal {E}$
- Conjugacy classes of $\mathrm {Alt}_5$ subgroups of $G$
- Conjugacy classes of $\mathrm {SL}(2, 5)$ subgroups of $G$