Question

What does it mean if a representation "factors through a group"?

score 843 · Answer 1 · 2026-03-27 16:38:17

843

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What does it mean if a representation "factors through a group"?

Published on 27 Mar 2026 - 16:38

score 59 · Answer 2 · 2018-07-23 20:32:57

59

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How to show elements in $F[x]/p(x)$ are closed under division?

Published on 23 Jul 2018 - 20:32

score 67 · Answer 3 · 2026-03-24 19:08:56

67

Views

To show: Galois group of a polynomial is not an alternating group .

Published on 24 Mar 2026 - 19:08

score 50 · Answer 4 · 2026-03-25 15:42:24

50

Views

Can we finitely extend a field with Galois group $S_n$ to a a field with a given permutation group

Published on 25 Mar 2026 - 15:42

score 138 · Answer 5 · 2026-03-25 04:42:56

138

Views

Non-Galois finite extensions of $F^{\operatorname{ur}}$

Published on 25 Mar 2026 - 4:42

score 284 · Answer 6 · 2018-07-27 05:23:45

284

Views

Sylow $p$-subgroups of Galois group

Published on 27 Jul 2018 - 5:23

score 1.8k · Answer 7 · 2026-03-26 22:14:49

1.8k

Views

Uniqueness of finite field

Published on 26 Mar 2026 - 22:14

score 736 · Answer 8 · 2018-07-28 16:30:32

736

Views

Showing the minimal polynomial for an element in an extension field is the same as the minimal polynomial of a linear transformation.

Published on 28 Jul 2018 - 16:30

score 271 · Answer 9 · 2018-07-28 23:23:41

271

Views

when do there exist proper endomorphisms of field extensions?

Published on 28 Jul 2018 - 23:23

score 703 · Answer 10 · 2018-07-29 06:57:30

703

Views

Must a degree $6$ field extension with Galois group $S_3$ be the splitting field of a cubic?

Published on 29 Jul 2018 - 6:57

score 87 · Answer 11 · 2026-03-25 03:02:23

87

Views

When is an element central in the image of a Weil representation?

Published on 25 Mar 2026 - 3:02

score 51 · Answer 12 · 2018-07-30 18:39:11

51

Views

Absolute Galois groups for finite extensions

Published on 30 Jul 2018 - 18:39

score 97 · Answer 13 · 2018-07-31 00:10:56

97

Views

What is the action of $\mathrm{Gal}(\overline{\mathbb{Q}}/\mathbb{Q})$ on the Teichmuller tower?

Published on 31 Jul 2018 - 0:10

score 39 · Answer 14 · 2018-08-01 23:28:40

39

Views

Tensoring does not change the determinant (norm map)

Published on 01 Aug 2018 - 23:28

score 82 · Answer 15 · 2018-08-02 07:44:52

82

Views

What is the general form of the valid polynomial equations over $\mathbb Q$ relating $\alpha,\beta,\gamma$ and $\delta$?

Published on 02 Aug 2018 - 7:44

List Question

What does it mean if a representation "factors through a group"?

How to show elements in $F[x]/p(x)$ are closed under division?

To show: Galois group of a polynomial is not an alternating group .

Can we finitely extend a field with Galois group $S_n$ to a a field with a given permutation group

Non-Galois finite extensions of $F^{\operatorname{ur}}$

Sylow $p$-subgroups of Galois group

Uniqueness of finite field

Showing the minimal polynomial for an element in an extension field is the same as the minimal polynomial of a linear transformation.

when do there exist proper endomorphisms of field extensions?

Must a degree $6$ field extension with Galois group $S_3$ be the splitting field of a cubic?

When is an element central in the image of a Weil representation?

Absolute Galois groups for finite extensions

What is the action of $\mathrm{Gal}(\overline{\mathbb{Q}}/\mathbb{Q})$ on the Teichmuller tower?

Tensoring does not change the determinant (norm map)

What is the general form of the valid polynomial equations over $\mathbb Q$ relating $\alpha,\beta,\gamma$ and $\delta$?

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