Under standard existence assumptions, the authors verify that the Monster has exactly 194 conjugacy classes and reproduce its Atlas character table.
Some steps in the verification of the ordinary character table of the Monster group
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abstract
We show the details of certain computations that are used in the paper "Verification of the conjugacy classes and ordinary character table of the Monster".
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Verification of the conjugacy classes and ordinary character table of the Monster
Under standard existence assumptions, the authors verify that the Monster has exactly 194 conjugacy classes and reproduce its Atlas character table.