List questions from finite-fields

Published on 27 Mar 2026 - 6:56

38

Views

Number of points of $\mathbb{P}^n$ over $\mathbb{F}_p$

Published on 26 Mar 2026 - 12:37

1.2k

Views

Confusion with Smith normal form and rational canonical form.

Published on 23 Feb 2026 - 8:00

93

Views

Where does one Evaluate the Roots of a Polynomial?

Published on 09 Mar 2017 - 2:15

256

Views

Confusion on the order of the orthogonal group over finite fields

Published on 10 Mar 2017 - 19:08

1k

Views

Prove $Aut(\Bbb Z_{p}^d)$ is isomorphic to $GL(d,p)$

Published on 11 Mar 2017 - 11:47

50

Views

number of conjugate class of $GL_3(\mathbb{F}_2)$

Published on 12 Mar 2017 - 16:28

52

Views

Irreducibility over $\mathbb{F}_5$

Published on 03 Apr 2026 - 1:58

127

Views

How is algebraic multiplicity defined for a vector space over $GF(2)$?

Published on 31 Mar 2026 - 16:53

573

Views

Irreducible polynomial over field of characteristic $0$ cannot have multiple zeroes

Published on 03 Apr 2026 - 1:54

5.4k

Views

Every finite field is perfect

Published on 14 Mar 2017 - 18:49

201

Views

$\mathbb{F}_{2^4}$ is not isomorphic to a subring of $\mathbb{F}_{2^5}$

Published on 15 Mar 2017 - 0:09

421

Views

Find all irreducible factors of $x^{10}-1$ in $\mathbb{Z}_3[x]$

Published on 03 Apr 2026 - 1:57

433

Views

Polynomial with integer coefficients which is irreducible over all prime fields

Published on 03 Apr 2026 - 3:34

231

Views

A Condition for division ring being a field.

Published on 25 Mar 2026 - 19:01

List Question

Obtaining some elements of Galois field $2^q$

Number of points of $\mathbb{P}^n$ over $\mathbb{F}_p$

Confusion with Smith normal form and rational canonical form.

Where does one Evaluate the Roots of a Polynomial?

Confusion on the order of the orthogonal group over finite fields

Prove $Aut(\Bbb Z_{p}^d)$ is isomorphic to $GL(d,p)$

number of conjugate class of $GL_3(\mathbb{F}_2)$

Irreducibility over $\mathbb{F}_5$

How is algebraic multiplicity defined for a vector space over $GF(2)$?

Irreducible polynomial over field of characteristic $0$ cannot have multiple zeroes

Every finite field is perfect

$\mathbb{F}_{2^4}$ is not isomorphic to a subring of $\mathbb{F}_{2^5}$

Find all irreducible factors of $x^{10}-1$ in $\mathbb{Z}_3[x]$

Polynomial with integer coefficients which is irreducible over all prime fields

A Condition for division ring being a field.

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