Monster group poster
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I have seen a number of questions here on how to intuitively understand the Monster Group. My questions is, is there a way one can create an image or series of images suitable for putting on a poster that gives a feel for the 'shape' of a geometric representation of the Monster Group. My thought is along the lines of the following example. If one were to take multiple two dimensional slices of a 3 or 4 dimensional polytope and placed those slices in a matrix of images, one could kind of understand what the higher dimensional shape is. Would that be feasible for the Monster group?
group-theory finite-groups simple-groups
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add a comment |
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I have seen a number of questions here on how to intuitively understand the Monster Group. My questions is, is there a way one can create an image or series of images suitable for putting on a poster that gives a feel for the 'shape' of a geometric representation of the Monster Group. My thought is along the lines of the following example. If one were to take multiple two dimensional slices of a 3 or 4 dimensional polytope and placed those slices in a matrix of images, one could kind of understand what the higher dimensional shape is. Would that be feasible for the Monster group?
group-theory finite-groups simple-groups
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4
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Well, the smallest dimension of a faithful representation is 196883, so... how big's your poster?
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– Alexander Gruber♦
Dec 5 '18 at 2:02
add a comment |
$begingroup$
I have seen a number of questions here on how to intuitively understand the Monster Group. My questions is, is there a way one can create an image or series of images suitable for putting on a poster that gives a feel for the 'shape' of a geometric representation of the Monster Group. My thought is along the lines of the following example. If one were to take multiple two dimensional slices of a 3 or 4 dimensional polytope and placed those slices in a matrix of images, one could kind of understand what the higher dimensional shape is. Would that be feasible for the Monster group?
group-theory finite-groups simple-groups
$endgroup$
I have seen a number of questions here on how to intuitively understand the Monster Group. My questions is, is there a way one can create an image or series of images suitable for putting on a poster that gives a feel for the 'shape' of a geometric representation of the Monster Group. My thought is along the lines of the following example. If one were to take multiple two dimensional slices of a 3 or 4 dimensional polytope and placed those slices in a matrix of images, one could kind of understand what the higher dimensional shape is. Would that be feasible for the Monster group?
group-theory finite-groups simple-groups
group-theory finite-groups simple-groups
asked Dec 5 '18 at 1:59
PMayPMay
1218
1218
4
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Well, the smallest dimension of a faithful representation is 196883, so... how big's your poster?
$endgroup$
– Alexander Gruber♦
Dec 5 '18 at 2:02
add a comment |
4
$begingroup$
Well, the smallest dimension of a faithful representation is 196883, so... how big's your poster?
$endgroup$
– Alexander Gruber♦
Dec 5 '18 at 2:02
4
4
$begingroup$
Well, the smallest dimension of a faithful representation is 196883, so... how big's your poster?
$endgroup$
– Alexander Gruber♦
Dec 5 '18 at 2:02
$begingroup$
Well, the smallest dimension of a faithful representation is 196883, so... how big's your poster?
$endgroup$
– Alexander Gruber♦
Dec 5 '18 at 2:02
add a comment |
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Well, the smallest dimension of a faithful representation is 196883, so... how big's your poster?
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– Alexander Gruber♦
Dec 5 '18 at 2:02