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The automorphism group of a field with $p^2$ elements

score 1.4k · Answer 1 · 2026-04-16 14:27:43

1.4k

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The automorphism group of a field with $p^2$ elements

Published on 16 Apr 2026 - 14:27

score 1.2k · Answer 2 · 2026-04-16 11:33:26

1.2k

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multiplicative order in field

Published on 16 Apr 2026 - 11:33

score 1.1k · Answer 3 · 2026-04-11 10:28:51

1.1k

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Different ways of proving a polynomial is irreducible in finite field.

Published on 11 Apr 2026 - 10:28

score 1k · Answer 4 · 2026-04-12 12:19:33

1k

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Two questions on finite fields

Published on 12 Apr 2026 - 12:19

score 705 · Answer 5 · 2026-04-14 03:53:20

705

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Irreducible polynomial f in polynomial ring of finite field order n divides a particular polynomial if and only if degree of f divides n

Published on 14 Apr 2026 - 3:53

score 234 · Answer 6 · 2026-04-11 14:50:24

234

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Is this a generator of a cyclic group?

Published on 11 Apr 2026 - 14:50

score 5k · Answer 7 · 2026-04-15 16:55:28

5k

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Discrete logarithm tables for the fields $\Bbb{F}_8$ and $\Bbb{F}_{16}$.

Published on 15 Apr 2026 - 16:55

score 1.3k · Answer 8 · 2026-04-14 02:00:59

1.3k

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How to find null space of a matrix over $\mathbb{GF}(2)$?

Published on 14 Apr 2026 - 2:00

score 49 · Answer 9 · 2026-04-16 11:17:31

49

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Let $F$ be a finite field and $\tau$ an element of $F$. Prove that there exists $a,b\in F$ such that $\tau=a^2+b^2$.

Published on 16 Apr 2026 - 11:17

score 123 · Answer 10 · 2026-04-16 23:26:25

123

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$F$ a finite field of $p^n$ elements. Suppose $F^\times=\langle x \rangle$. Then $\phi(x)=x^{p^r}$ for automorphisms

Published on 16 Apr 2026 - 23:26

score 397 · Answer 11 · 2026-04-14 01:27:10

397

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Units in finite polynomial rings

Published on 14 Apr 2026 - 1:27

score 37 · Answer 12 · 2026-04-14 13:41:25

37

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Units in finite polynomial rings

Published on 14 Apr 2026 - 13:41

score 11.1k · Answer 13 · 2026-04-13 04:15:26

11.1k

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Finding a primitive element of a finite field

Published on 13 Apr 2026 - 4:15

score 34 · Answer 14 · 2026-04-16 09:11:32

34

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Finding the smallest $k$ such that $f(x)$ divides $1-x^k$ where $f(x)$ is over $\mbox{GF}(2)$?

Published on 16 Apr 2026 - 9:11

score 209 · Answer 15 · 2026-04-15 17:24:51

209

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What's the connection between irreducible polynomials and fixed-frobenius elements in a finite ring?

Published on 15 Apr 2026 - 17:24

List Question

The automorphism group of a field with $p^2$ elements

multiplicative order in field

Different ways of proving a polynomial is irreducible in finite field.

Two questions on finite fields

Irreducible polynomial f in polynomial ring of finite field order n divides a particular polynomial if and only if degree of f divides n

Is this a generator of a cyclic group?

Discrete logarithm tables for the fields $\Bbb{F}_8$ and $\Bbb{F}_{16}$.

How to find null space of a matrix over $\mathbb{GF}(2)$?

Let $F$ be a finite field and $\tau$ an element of $F$. Prove that there exists $a,b\in F$ such that $\tau=a^2+b^2$.

$F$ a finite field of $p^n$ elements. Suppose $F^\times=\langle x \rangle$. Then $\phi(x)=x^{p^r}$ for automorphisms

Units in finite polynomial rings

Units in finite polynomial rings

Finding a primitive element of a finite field

Finding the smallest $k$ such that $f(x)$ divides $1-x^k$ where $f(x)$ is over $\mbox{GF}(2)$?

What's the connection between irreducible polynomials and fixed-frobenius elements in a finite ring?

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