Question

Subgroups and corresponding fixed fields of Galois group of primitive 24th root of unity.

score 293 · Answer 1 · 2017-04-02 16:39:04

293

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Subgroups and corresponding fixed fields of Galois group of primitive 24th root of unity.

Published on 02 Apr 2017 - 16:39

score 229 · Answer 2 · 2017-04-04 12:16:20

229

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Prove that if the $\mathrm{ord}(p)a =3$, then $\mathrm{ord}(p)(a+1) = 6$, $p$ prime

Published on 04 Apr 2017 - 12:16

score 96 · Answer 3 · 2026-03-26 03:19:13

96

Views

tetration primitive root $q \mod p$

Published on 26 Mar 2026 - 3:19

score 60 · Answer 4 · 2023-04-05 20:41:56

60

Views

What is the difference between a primitive root mod p and a number with period p-1 mod p where p is prime?

Published on 05 Apr 2023 - 20:41

score 252 · Answer 5 · 2023-04-20 19:03:47

252

Views

Finding primitive root modulo 27

Published on 20 Apr 2023 - 19:03

score 83 · Answer 6 · 2026-03-26 14:22:49

83

Views

Cyclotomic Polynomials and The Existence of Infinite Prime Power

Published on 26 Mar 2026 - 14:22

score 24 · Answer 7 · 2023-05-15 14:19:36

24

Views

How can I find all primitive roots of 41?

Published on 15 May 2023 - 14:19

score 77 · Answer 8 · 2023-05-26 12:46:33

77

Views

I've some problem in the definition of primitive root in the Discrete Mathematics and Its Applications

Published on 26 May 2023 - 12:46

score 36 · Answer 9 · 2023-05-29 10:42:47

36

Views

Is zero a discrete logarithm?

Published on 29 May 2023 - 10:42

score 64 · Answer 10 · 2023-06-08 07:44:27

64

Views

Let p be a prime number with p≡3 (mod 4) and let r be a primitive root modulo p . Prove that $\mathrm{ord}_p(-r) = (p-1)/2.$

Published on 08 Jun 2023 - 7:44

score 104 · Answer 11 · 2023-08-23 20:11:43

104

Views

Is it possible to create factors of $p_n\#$ which cannot create any primitive root of $p_{n+1}$?

Published on 23 Aug 2023 - 20:11

score 58 · Answer 12 · 2026-03-27 14:02:10

58

Views

How do I prove that the primitive element of a field extension are this way.

Published on 27 Mar 2026 - 14:02

score 34 · Answer 13 · 2026-03-28 15:11:55

34

Views

Question about a proof of $\phi(r)$ incongruent integers

Published on 28 Mar 2026 - 15:11

score 111 · Answer 14 · 2026-03-25 12:51:58

111

Views

Check if a polynomial is primitive over a galois field using Magma calculator

Published on 25 Mar 2026 - 12:51

score 47 · Answer 15 · 2023-10-26 10:18:38

47

Views

Number theory: Where did I go wrong with solving this polynomial congruence?

Published on 26 Oct 2023 - 10:18

List Question

Subgroups and corresponding fixed fields of Galois group of primitive 24th root of unity.

Prove that if the $\mathrm{ord}(p)a =3$, then $\mathrm{ord}(p)(a+1) = 6$, $p$ prime

tetration primitive root $q \mod p$

What is the difference between a primitive root mod p and a number with period p-1 mod p where p is prime?

Finding primitive root modulo 27

Cyclotomic Polynomials and The Existence of Infinite Prime Power

How can I find all primitive roots of 41?

I've some problem in the definition of primitive root in the Discrete Mathematics and Its Applications

Is zero a discrete logarithm?

Let p be a prime number with p≡3 (mod 4) and let r be a primitive root modulo p . Prove that $\mathrm{ord}_p(-r) = (p-1)/2.$

Is it possible to create factors of $p_n\#$ which cannot create any primitive root of $p_{n+1}$?

How do I prove that the primitive element of a field extension are this way.

Question about a proof of $\phi(r)$ incongruent integers

Check if a polynomial is primitive over a galois field using Magma calculator

Number theory: Where did I go wrong with solving this polynomial congruence?

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