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- W3119254330 abstract "Let ℤK denote the ring of algebraic integers of an algebraic number field K=ℚ(𝜃) where the algebraic integer 𝜃 is a root of an irreducible quadrinomial f(x)=xn+axn−1+bxn−2+c belonging to ℤ[x] with a2=4b. We give necessary and sufficient conditions involving only a,b,c,n for a prime p to divide the index of the subgroup ℤ[𝜃] in ℤK. As a consequence, we obtain necessary and sufficient conditions for ℤK to be equal to ℤ[𝜃]. Moreover, when ℤK≠ℤ[𝜃], we provide an explicit formula for the index [ℤK:ℤ[𝜃]] in some cases." @default.
- W3119254330 created "2021-01-18" @default.
- W3119254330 creator A5043779349 @default.
- W3119254330 date "2020-12-01" @default.
- W3119254330 modified "2023-09-24" @default.
- W3119254330 title "On primes dividing the index of a quadrinomial" @default.
- W3119254330 cites W1496801598 @default.
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- W3119254330 doi "https://doi.org/10.1216/rmj.2020.50.2117" @default.
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