Question

What is the difference between multiplicative group of integers modulo n and a Galois Field

score 688 · Answer 1 · 2026-04-12 07:55:29

688

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What is the difference between multiplicative group of integers modulo n and a Galois Field

Published on 12 Apr 2026 - 7:55

score 1.2k · Answer 2 · 2026-04-13 06:58:16

1.2k

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Degrees of faithful irreducible representations of $\mathbb{Z}_n$ over finite fields

Published on 13 Apr 2026 - 6:58

score 2.5k · Answer 3 · 2026-04-13 01:28:24

2.5k

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Relationship between number of conjugacy classes and number of irreducible representations of a group

Published on 13 Apr 2026 - 1:28

score 1.9k · Answer 4 · 2026-04-13 00:35:41

1.9k

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Is the splitting field equal to the quotient $k[x]/(f(x))$ for finite fields?

Published on 13 Apr 2026 - 0:35

score 202 · Answer 5 · 2013-06-05 03:35:58

202

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What is the smallest dimension possible for a representation of $D_8 \times Q_8$ which is faithful over $F$?

Published on 05 Jun 2013 - 3:35

score 1.2k · Answer 6 · 2026-04-08 22:54:00

1.2k

Views

Extending and inducing irreducible representations

Published on 08 Apr 2026 - 22:54

score 502 · Answer 7 · 2026-04-13 04:21:28

502

Views

Clarifications on the faithful irreducible representations of the dihedral groups over finite fields.

Published on 13 Apr 2026 - 4:21

score 135 · Answer 8 · 2013-06-06 08:29:37

135

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Which accompanying text do you suggest on these topics of finite fields?

Published on 06 Jun 2013 - 8:29

score 136 · Answer 9 · 2026-04-11 10:56:51

136

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Finite fields as splitting fields

Published on 11 Apr 2026 - 10:56

score 7.4k · Answer 10 · 2026-04-13 07:05:46

7.4k

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Understanding examples of subfield and prime subfield of a finite field

Published on 13 Apr 2026 - 7:05

score 486 · Answer 11 · 2026-04-12 05:45:38

486

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Genus over finite fields

Published on 12 Apr 2026 - 5:45

score 52 · Answer 12 · 2026-04-01 03:31:51

52

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meaning of "linear form" in binary code

Published on 01 Apr 2026 - 3:31

score 93 · Answer 13 · 2026-04-12 23:01:56

93

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How to convert a polynomial in $GF(p^n)$ into the form $a(x)^k$, with $a(x)$ a generator polynomial.

Published on 12 Apr 2026 - 23:01

score 114 · Answer 14 · 2026-04-01 03:32:47

114

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(18,9,8) self-dual quaternary codes vs S18

Published on 01 Apr 2026 - 3:32

score 3k · Answer 15 · 2026-04-07 14:40:21

3k

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Factor $x^5-1$ into irreducibles in $\mathbb{F}_p[x]$

Published on 07 Apr 2026 - 14:40

List Question

What is the difference between multiplicative group of integers modulo n and a Galois Field

Degrees of faithful irreducible representations of $\mathbb{Z}_n$ over finite fields

Relationship between number of conjugacy classes and number of irreducible representations of a group

Is the splitting field equal to the quotient $k[x]/(f(x))$ for finite fields?

What is the smallest dimension possible for a representation of $D_8 \times Q_8$ which is faithful over $F$?

Extending and inducing irreducible representations

Clarifications on the faithful irreducible representations of the dihedral groups over finite fields.

Which accompanying text do you suggest on these topics of finite fields?

Finite fields as splitting fields

Understanding examples of subfield and prime subfield of a finite field

Genus over finite fields

meaning of "linear form" in binary code

How to convert a polynomial in $GF(p^n)$ into the form $a(x)^k$, with $a(x)$ a generator polynomial.

(18,9,8) self-dual quaternary codes vs S18

Factor $x^5-1$ into irreducibles in $\mathbb{F}_p[x]$

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