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- W2892284744 abstract "The set of prime numbers p such that the supersingular j-invariants in characteristic p are all contained in the prime field is finite. And it is well known that this set of primes coincides with the set of prime divisors of the order of the Monster simple group. In this paper, we will present analogous coincidences of supersingular invariants in level 2 and 3 and the orders of the Baby monster group and the Fischer's group. The proof uses a connection between the number of supersingular invariants and class numbers of imaginary quadratic fields." @default.
- W2892284744 created "2018-09-27" @default.
- W2892284744 creator A5000584114 @default.
- W2892284744 date "2019-11-01" @default.
- W2892284744 modified "2023-09-24" @default.
- W2892284744 title "The number of linear factors of supersingular polynomials and sporadic simple groups" @default.
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- W2892284744 doi "https://doi.org/10.1016/j.jnt.2019.04.015" @default.
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