query: Is the finite field $Z_p$ an ordered one? Or can a finite field be ordered?
positive_passages.docid: 140106
positive_passages.text: How to prove a finite field is not ordered?
negative_passages.docid: 55719
negative_passages.text: Order of general- and special linear groups over finite fields.
negative_passages.docid: 31216
negative_passages.text: Is the image of $\Phi_n(x) \in \mathbb{Z}[x]$ in $\mathbb{F}_q[x]$ still a cyclotomic polynomial?
negative_passages.docid: 115449
negative_passages.text: Inclusion of Fields whose order is a prime power
negative_passages.docid: 37351
negative_passages.text: Group of Order $p^2$ Isomorphic to $\mathbb{Z}_{p^2}$ or $\mathbb{Z}_{p}$ $\times$ $\mathbb{Z}_{p}$
negative_passages.docid: 34740
negative_passages.text: Do finite algebraically closed fields exist?
negative_passages.docid: 132725
negative_passages.text: Is $\mathbb{Z}/\langle n\rangle$ cyclic and of order $n$?
negative_passages.docid: 56234
negative_passages.text: Isomorphism $f$ preserves the order of an element?
negative_passages.docid: 55429
negative_passages.text: Why does a Galois field have to have an order of $p^n$ where $p$ is prime?
negative_passages.docid: 6827
negative_passages.text: To identify field $Z[i]/(3)$
negative_passages.docid: 131163
negative_passages.text: There is a well ordering of the class of all finite sequences of ordinals
negative_passages.docid: 47091
negative_passages.text: How to construct finite fields of any prime power order?
negative_passages.docid: 94429
negative_passages.text: Alternative methods to prove that $Z_m$ is a field under addition and multiplication $\bmod\ m$ iff $m$ is a prime
negative_passages.docid: 132133
negative_passages.text: Number of elements of a finite field
negative_passages.docid: 86626
negative_passages.text: Finite fields, existence of field of order $p^n$,proof help
negative_passages.docid: 54585
negative_passages.text: Order of some quotient ring of Gaussian integers
negative_passages.docid: 121481
negative_passages.text: Non-abelian finite $p$-group in which every element has prime order?