# Definition:Monster Group

Jump to navigation
Jump to search

## Definition

A group $G$ is a **Monster group** and the largest sporadic simple group if and only if it has the order:

- $808017424794512875886459904961710757005754368000000000 = 2^{46}.3^{20}.5^9.7^6.11^2.13.17.19.23.29.31.41.47.59.71$

## Also see

- Dimension of Monster Group: its dimension is $\map \dim G = 196 \, 883$

## Source

- 1998: David Nelson:
*The Penguin Dictionary of Mathematics*(2nd ed.) ... (previous) ... (next): Entry:**monster group** - 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next): Entry:**monster group**