Definition:Monster Group
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The validity of the material on this page is questionable.
The if and only if seems wrong. For example, the cyclic group of order $808017424794512875886459904961710757005754368000000000$ is not the Monster group.
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Definition
A group $G$ is a Monster group and the largest sporadic simple group if and only if it has the order:
- $808017424794512875886459904961710757005754368000000000 = 2^{46}.3^{20}.5^9.7^6.11^2.13.17.19.23.29.31.41.47.59.71$
The if and only if seems wrong. For example, the cyclic group of order $808017424794512875886459904961710757005754368000000000$ is not the Monster group.
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by resolving the issues.
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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
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