Definition: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 validity of the material on this page is questionable. In particular: 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. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{Questionable}} from the code.If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page. |
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): monster group
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): monster group
 | Work In Progress In particular: Build a template for importing citations from this site like as in MathWorld etc. You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by completing it. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{WIP}} from the code. |