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math.NT2024
Chebotarev's theorem for groups of order and an uncertainty principle
Maria Loukaki
Let be a prime number and a primitive -th root of unity. Chebotarev's theorem states that every square submatrix of the matrix …
math.GR2024
Counting in nilpotent injectors and Carter subgroups
Stefanos Aivazidis, Maria Loukaki, John Shareshian
We investigate number-theoretic properties of the collection of nilpotent injectors or nilpotent projectors containing certain subgroups of finite soluble (or -constr…