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Regarding the structure of certain minimal polynomials

score 55 · Answer 1 · 2015-05-25 08:39:31

55

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Regarding the structure of certain minimal polynomials

Published on 25 May 2015 - 8:39

score 1.3k · Answer 2 · 2026-03-26 17:53:14

1.3k

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The number of $3\times 3$ nilpotent matrices over $\mathbb{F}_q$ using the orbit-stabilizer theorem

Published on 26 Mar 2026 - 17:53

score 2.2k · Answer 3 · 2026-04-05 03:02:15

2.2k

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Construction of addition and multiplication table for GF(4)

Published on 05 Apr 2026 - 3:02

score 1.7k · Answer 4 · 2026-03-27 22:18:55

1.7k

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Show that $\mathbb{F}_q$ is a Splitting Field for Polynomial $x^q-x$

Published on 27 Mar 2026 - 22:18

score 52 · Answer 5 · 2015-05-28 02:10:39

52

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Is there a function over $\mathbb{Z}_p$ that is never linear?

Published on 28 May 2015 - 2:10

score 595 · Answer 6 · 2026-04-03 23:04:05

595

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Number of points on an elliptic curve and it's twist over $\mathbb{F}_p$.

Published on 03 Apr 2026 - 23:04

score 134 · Answer 7 · 2015-05-29 15:06:44

134

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the degree of every irreducible polynomial that divides $x^p-x-a$ is the same.

Published on 29 May 2015 - 15:06

score 116 · Answer 8 · 2015-05-30 12:50:09

116

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Show that every $f(x) \in K[x]$ can be represented as $g(x^{p^e})$

Published on 30 May 2015 - 12:50

score 108 · Answer 9 · 2015-05-30 19:46:54

108

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Is it possible to define a continuous field with characteristic $\neq 0$?

Published on 30 May 2015 - 19:46

score 1.2k · Answer 10 · 2015-05-31 10:26:12

1.2k

Views

Construction of non-prime finite fields

Published on 31 May 2015 - 10:26

score 1.5k · Answer 11 · 2015-06-02 00:59:29

1.5k

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Find a primitive element for the field extension $\mathbb{F}_{125}/\mathbb{F}_5$ - which elements of $\mathbb{F}_{125}$ are not in $\mathbb{F}_5$?

Published on 02 Jun 2015 - 0:59

score 83 · Answer 12 · 2015-06-02 03:43:16

83

Views

Extending Semilinear Transformations over Finite Fields

Published on 02 Jun 2015 - 3:43

score 91 · Answer 13 · 2015-06-02 09:43:34

91

Views

Period notation in group theory

Published on 02 Jun 2015 - 9:43

score 198 · Answer 14 · 2015-06-02 18:48:47

198

Views

Is the polynomial $x^8+x+1$ irreducible in $\mathbb{F}_2[x]$?

Published on 02 Jun 2015 - 18:48

score 148 · Answer 15 · 2015-06-02 21:45:39

148

Views

Field extensions for polynomial $T^3+2T +1$ in $\mathbb F_3$

Published on 02 Jun 2015 - 21:45

List Question

Regarding the structure of certain minimal polynomials

The number of $3\times 3$ nilpotent matrices over $\mathbb{F}_q$ using the orbit-stabilizer theorem

Construction of addition and multiplication table for GF(4)

Show that $\mathbb{F}_q$ is a Splitting Field for Polynomial $x^q-x$

Is there a function over $\mathbb{Z}_p$ that is never linear?

Number of points on an elliptic curve and it's twist over $\mathbb{F}_p$.

the degree of every irreducible polynomial that divides $x^p-x-a$ is the same.

Show that every $f(x) \in K[x]$ can be represented as $g(x^{p^e})$

Is it possible to define a continuous field with characteristic $\neq 0$?

Construction of non-prime finite fields

Find a primitive element for the field extension $\mathbb{F}_{125}/\mathbb{F}_5$ - which elements of $\mathbb{F}_{125}$ are not in $\mathbb{F}_5$?

Extending Semilinear Transformations over Finite Fields

Period notation in group theory

Is the polynomial $x^8+x+1$ irreducible in $\mathbb{F}_2[x]$?

Field extensions for polynomial $T^3+2T +1$ in $\mathbb F_3$

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