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http://hdl.handle.net/123456789/1778| Title: | Characterization of primes dividing the index of a trinomial |
| Authors: | Jakhar, A. Khanduja, S.K. Sangwan, N. |
| Keywords: | Rings of algebraic integers index of an algebraic integer power basis. |
| Issue Date: | 2017 |
| Publisher: | World Scientific |
| Citation: | International Journal of Number Theory, 13 (10) |
| Abstract: | LetAKdenote the ring of algebraic integers of an algebraic number fieldK=Q(θ),whereθis a root of an irreducible trinomialF(x)=xn+axm+bbelonging toZ[x].In this paper, we give necessary and sufficient conditions involving onlya, b, m, nfor agiven primepto divide the index of the subgroupZ[θ]inAK. In particular, we deducenecessary and sufficient conditions forAKto be equal toZ[θ] |
| URI: | https://www.worldscientific.com/doi/pdf/10.1142/S1793042117501391 http://hdl.handle.net/123456789/1778 |
| Appears in Collections: | Research Articles |
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