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Question about elementary property of Jacobi sums

score 148 · Answer 1 · 2016-12-11 17:14:59

148

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Question about elementary property of Jacobi sums

Published on 11 Dec 2016 - 17:14

score 48 · Answer 2 · 2026-02-23 04:02:32

48

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Decomposing $\mathbb{F}_p[G]$ ($G$ finite) into products of matrix rings over fields

Published on 23 Feb 2026 - 4:02

score 42 · Answer 3 · 2016-12-13 20:12:06

42

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Clarification for Extension Fields and Galois Field

Published on 13 Dec 2016 - 20:12

score 1.1k · Answer 4 · 2016-12-14 20:04:22

1.1k

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Finding an isomorphism between these two finite fields

Published on 14 Dec 2016 - 20:04

score 44 · Answer 5 · 2026-04-02 17:27:50

44

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Some questions on the ring $(\mathbb{F}_3,+,\cdot)$

Published on 02 Apr 2026 - 17:27

score 1.2k · Answer 6 · 2026-04-02 17:26:41

1.2k

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Construct a field from irreducible polynomial

Published on 02 Apr 2026 - 17:26

score 589 · Answer 7 · 2016-12-16 16:15:18

589

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Let $G=GL(2,GF(3))$ be the group of all matrices $ \begin{pmatrix} a & b \\ c & d \end{pmatrix} $

Published on 16 Dec 2016 - 16:15

score 796 · Answer 8 · 2016-12-16 19:10:24

796

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Polynomial basis representation of elements of a finite field

Published on 16 Dec 2016 - 19:10

score 120 · Answer 9 · 2016-12-16 21:31:33

120

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If $p$ mod $4=1$, how many elements of order $4$ are in $GF(p^n)^*$

Published on 16 Dec 2016 - 21:31

score 384 · Answer 10 · 2016-12-18 15:27:22

384

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Two elements of $\mathbb F_{q^m}$ that share the same minimal polynomial over $\mathbb F_q$ have the same multiplicative order

Published on 18 Dec 2016 - 15:27

score 65 · Answer 11 · 2016-12-19 00:04:42

65

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$T^n - T + 1$ is separable over a field $k$ unless $\mathrm{char}(k)$ divides $n^n - (n - 1)^{n - 1}$ for all $n \geq 2$

Published on 19 Dec 2016 - 0:04

score 139 · Answer 12 · 2016-12-19 06:54:04

139

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How many elements in the finite field?

Published on 19 Dec 2016 - 6:54

score 210 · Answer 13 · 2016-12-18 23:24:48

210

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How to determine a formal root of a polynomial in power series over finite field?

Published on 18 Dec 2016 - 23:24

score 1.1k · Answer 14 · 2026-03-25 12:29:25

1.1k

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If the discriminant of a cubic polynomial is a square, what can one say about the coefficients of the polynomial?

Published on 25 Mar 2026 - 12:29

score 125 · Answer 15 · 2016-12-22 02:13:37

125

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Fundamental knowledge of polynomial over a field and its topology

Published on 22 Dec 2016 - 2:13

List Question

Question about elementary property of Jacobi sums

Decomposing $\mathbb{F}_p[G]$ ($G$ finite) into products of matrix rings over fields

Clarification for Extension Fields and Galois Field

Finding an isomorphism between these two finite fields

Some questions on the ring $(\mathbb{F}_3,+,\cdot)$

Construct a field from irreducible polynomial

Let $G=GL(2,GF(3))$ be the group of all matrices $ \begin{pmatrix} a & b \\ c & d \end{pmatrix} $

Polynomial basis representation of elements of a finite field

If $p$ mod $4=1$, how many elements of order $4$ are in $GF(p^n)^*$

Two elements of $\mathbb F_{q^m}$ that share the same minimal polynomial over $\mathbb F_q$ have the same multiplicative order

$T^n - T + 1$ is separable over a field $k$ unless $\mathrm{char}(k)$ divides $n^n - (n - 1)^{n - 1}$ for all $n \geq 2$

How many elements in the finite field?

How to determine a formal root of a polynomial in power series over finite field?

If the discriminant of a cubic polynomial is a square, what can one say about the coefficients of the polynomial?

Fundamental knowledge of polynomial over a field and its topology

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