Definition:Fischer-Griess Monster
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Definition
The Fischer-Griess monster $\mathrm M$ is the automorphism group of the Griess algebra.
Also known as
The Fischer-Griess monster is also known as:
or just:
- the monster (group).
Also see
- Order of Fischer-Griess Monster
- Number of Conjugacy Classes of Fischer-Griess Monster: it has $194$ conjugacy classes
- Dimension of Fischer-Griess Monster: its dimension is $\map \dim G = 196 \, 883$
- Results about the Fischer-Griess monster can be found here.
Source of Name
This entry was named for Bernd Fischer and Robert Louis Griess, Jr.
Historical Note
The existence of the Fischer-Griess Monster was first deduced by Bernd Fischer in $1973$, but he did not publish this finding.
In $1976$, Robert Louis Griess, Jr. made the same discovery from a different direction.
In $1981$, Griess finally managed to construct the actual Fischer-Griess Monster itself.
Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000$
- 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
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