List questions from finite-fields

Published on 29 Mar 2018 - 17:59

308

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Klein quartic smooth in Char different from 7

Published on 25 Mar 2026 - 1:15

1.9k

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Show that $\Bbb F_2[x]/(x^3+x+1)$ is a field and more...

Published on 30 Mar 2018 - 9:35

239

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For a finite extension $K/F$ of degree $>1$, prove that $K$ is not the union of finitely many proper intermediate fields.

Published on 25 Mar 2026 - 10:58

110

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Compressed Sensing - Finite Fields

Published on 31 Mar 2018 - 1:11

146

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is it meaningful to calculate $(x+1)^{x+2}$ in $GF(3^2)$, e.g. using discrete logs?

Published on 25 Mar 2026 - 4:02

775

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How can you construct a field of a given order?

Published on 01 Apr 2018 - 21:59

225

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generators of $SL_3(\mathbb{Z}/p\mathbb{Z})$

Published on 02 Apr 2018 - 15:57

74

Views

Help finding the root of a polynomial in a field extension which adjoins the root of a separate polynomial.

Published on 25 Mar 2026 - 10:57

38

Views

Quickest way to prove irreduciblity?

Published on 25 Mar 2026 - 4:57

67

Views

Verifying Isomorphism between finite fields

Published on 05 Apr 2018 - 15:09

194

Views

Surjective group homomorphism from $GL(n, \mathbb{F}_{p})$

Published on 06 Apr 2018 - 12:56

126

Views

How to factor this polynomial over $\mathbb{F}_2$

Published on 06 Apr 2018 - 14:56

124

Views

Can Wedderburn's theorem proof be given by integral domain argument directly?

Published on 07 Apr 2018 - 4:21

85

Views

If $a$ and $b$ are elements of a finite field $k$, then $f(x)$ must have a root in $k$

Published on 08 Apr 2018 - 4:40

List Question

Subgroup of order $n$ of $GL_n(\mathbb{F}_q)$

Klein quartic smooth in Char different from 7

Show that $\Bbb F_2[x]/(x^3+x+1)$ is a field and more...

For a finite extension $K/F$ of degree $>1$, prove that $K$ is not the union of finitely many proper intermediate fields.

Compressed Sensing - Finite Fields

is it meaningful to calculate $(x+1)^{x+2}$ in $GF(3^2)$, e.g. using discrete logs?

How can you construct a field of a given order?

generators of $SL_3(\mathbb{Z}/p\mathbb{Z})$

Help finding the root of a polynomial in a field extension which adjoins the root of a separate polynomial.

Quickest way to prove irreduciblity?

Verifying Isomorphism between finite fields

Surjective group homomorphism from $GL(n, \mathbb{F}_{p})$

How to factor this polynomial over $\mathbb{F}_2$

Can Wedderburn's theorem proof be given by integral domain argument directly?

If $a$ and $b$ are elements of a finite field $k$, then $f(x)$ must have a root in $k$

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