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Results tagged with monster
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user 152146
Questions about the Monster group, the largest of the sporadic simple groups. This group acts as symmetries on a vertex operator algebra whose graded dimension is the elliptic $j$-function.
4
votes
Accepted
Where can I find a table of the exponents of the sporadic groups?
I had a quick look at the character table of the Monster in the Atlas, and its exponent appears to be 32.27.25.7.11.13.17.19.23.29.31.47.59.71.41
- Derek Holt
Or, using the version of the ATLAS tables … in Gap's character table library, Exponent(CharacterTable("F1")); (returns 1165654792878376600800) for the exponent of the Monster …
- 373
2
votes
2
answers
416
views
Where can I find a table of the exponents of the sporadic groups?
In particular, I'm interested in what the exponent of the Monster Group is. (Obviously the order is well publicised, but not the exponent, as far as I can tell.)
Thanks! …
- 373
21
votes
3
answers
4k
views
What is the geometric shape of the Monster sporadic group?
Conway made the comment that the Monster group represents the symmetries of a shape in 196,883 dimensions, something like a "star you hang on a Christmas tree." … My question is, What do we know (or conjecture) about the enigmatic shape whose symmetries are captured by the Monster? …
- 373