Question

How existence of an irreducible polynomial in $F_p(x)$ of degree $n$ guarantees existence of finite field of order $p^n$

score 1.2k · Answer 1 · 2026-04-16 12:45:08

1.2k

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How existence of an irreducible polynomial in $F_p(x)$ of degree $n$ guarantees existence of finite field of order $p^n$

Published on 16 Apr 2026 - 12:45

score 101 · Answer 2 · 2026-04-14 07:58:00

101

Views

Proving a particular isomorphism in $GF(2^n)$

Published on 14 Apr 2026 - 7:58

score 284 · Answer 3 · 2026-04-12 16:06:12

284

Views

Question on Squares in Finite Fields

Published on 12 Apr 2026 - 16:06

score 1.1k · Answer 4 · 2026-04-14 23:12:32

1.1k

Views

Showing that there exists a non constant Polynomial over a finite field without roots.

Published on 14 Apr 2026 - 23:12

score 217 · Answer 5 · 2026-04-17 02:59:28

217

Views

Finding the common roots of polynomials over a finite field,

Published on 17 Apr 2026 - 2:59

score 48 · Answer 6 · 2026-04-15 22:15:55

48

Views

Orbits of $SL_{n}(q)$ on pairs of $k$-spaces

Published on 15 Apr 2026 - 22:15

score 1.2k · Answer 7 · 2026-04-14 10:00:00

1.2k

Views

Non-Isomorphic subfields of GF(64)

Published on 14 Apr 2026 - 10:00

score 146 · Answer 8 · 2026-04-16 08:21:45

146

Views

Polynomials in $\mathbb F_3[X_1,\ldots,X_N]$ that Vanish in a Particular Way

Published on 16 Apr 2026 - 8:21

score 2.3k · Answer 9 · 2026-04-12 07:33:28

2.3k

Views

How many finite fields with 10 elements are there?

Published on 12 Apr 2026 - 7:33

score 124 · Answer 10 · 2026-04-16 04:21:07

124

Views

Explicit isomorphism between a quartic extension of $\mathbb{F}_2$ and a quadratic extension of $\mathbb{F}_4$

Published on 16 Apr 2026 - 4:21

score 505 · Answer 11 · 2026-04-16 15:07:43

505

Views

Understanding $\Bbb Z_3[X] /(x^3+x^2+x+1) $

Published on 16 Apr 2026 - 15:07

score 107 · Answer 12 · 2026-03-25 12:52:09

107

Views

Is $\mathbb Z_7$ an extension of $\mathbb Z_2$?

Published on 25 Mar 2026 - 12:52

score 178 · Answer 13 · 2026-04-17 02:35:33

178

Views

Cardinality Splitting field of $\varphi = X^5+2X^4+X^3+X^2+X+2 \in \mathbb F_3 [X]$

Published on 17 Apr 2026 - 2:35

score 572 · Answer 14 · 2026-04-13 16:42:28

572

Views

Sum of $n$ integers from set of size $2n-1$ divides $n$

Published on 13 Apr 2026 - 16:42

score 32 · Answer 15 · 2026-04-15 09:24:01

32

Views

Standard bilinear form over vector spaces derived from finite fields

Published on 15 Apr 2026 - 9:24

List Question

How existence of an irreducible polynomial in $F_p(x)$ of degree $n$ guarantees existence of finite field of order $p^n$

Proving a particular isomorphism in $GF(2^n)$

Question on Squares in Finite Fields

Showing that there exists a non constant Polynomial over a finite field without roots.

Finding the common roots of polynomials over a finite field,

Orbits of $SL_{n}(q)$ on pairs of $k$-spaces

Non-Isomorphic subfields of GF(64)

Polynomials in $\mathbb F_3[X_1,\ldots,X_N]$ that Vanish in a Particular Way

How many finite fields with 10 elements are there?

Explicit isomorphism between a quartic extension of $\mathbb{F}_2$ and a quadratic extension of $\mathbb{F}_4$

Understanding $\Bbb Z_3[X] /(x^3+x^2+x+1) $

Is $\mathbb Z_7$ an extension of $\mathbb Z_2$?

Cardinality Splitting field of $\varphi = X^5+2X^4+X^3+X^2+X+2 \in \mathbb F_3 [X]$

Sum of $n$ integers from set of size $2n-1$ divides $n$

Standard bilinear form over vector spaces derived from finite fields

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