Question

$F(r)$ self-normalizing in $\mathrm{gl}(F(r),F)$

score 38 · Answer 1 · 2026-04-16 01:08:04

38

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$F(r)$ self-normalizing in $\mathrm{gl}(F(r),F)$

Published on 16 Apr 2026 - 1:08

score 789 · Answer 2 · 2026-04-24 03:02:21

789

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Finding a projective resolution for a direct sum

Published on 24 Apr 2026 - 3:02

score 2.3k · Answer 3 · 2026-04-13 16:13:51

2.3k

Views

Computing a Galois Group by Reducing Mod P

Published on 13 Apr 2026 - 16:13

score 216 · Answer 4 · 2026-04-11 14:39:03

216

Views

Reciprocal basis of an ideal in $\mathcal{O}_K$

Published on 11 Apr 2026 - 14:39

score 5.8k · Answer 5 · 2026-04-17 09:59:13

5.8k

Views

Find the degree and a basis for $\mathbb{Q}(\sqrt{3} + \sqrt{5})$ over $\mathbb{Q}(\sqrt{15})$

Published on 17 Apr 2026 - 9:59

score 97 · Answer 6 · 2026-04-16 08:23:02

97

Views

Primitive element for $F=\Bbb Q(i,\sqrt{11},\sqrt{3})$ over $\Bbb Q$

Published on 16 Apr 2026 - 8:23

score 334 · Answer 7 · 2026-05-11 00:04:57

334

Views

Determining ring of integers using Computer Algebra Systems

Published on 11 May 2026 - 0:04

score 133 · Answer 8 · 2026-04-16 21:11:37

133

Views

Show $\Bbb Q[\sqrt[3]2]\cong \Bbb Q[x]/(x^3-2)$ via First Isomorphism Theorem

Published on 16 Apr 2026 - 21:11

score 46 · Answer 9 · 2026-04-13 05:39:36

46

Views

Showing that a $\mathbb{Q}$-automorphism of a field $E$ fixes $i$

Published on 13 Apr 2026 - 5:39

score 155 · Answer 10 · 2026-04-13 07:41:19

155

Views

How many roots does one add when considering the quotient of a polynomial ring?

Published on 13 Apr 2026 - 7:41

score 2.3k · Answer 11 · 2026-04-16 10:21:16

2.3k

Views

How can I show that the polynomial $p = x^5 - x^3 - 2x^2 - 2x - 1$ is irreducible over $\Bbb Q$?

Published on 16 Apr 2026 - 10:21

score 33 · Answer 12 · 2026-04-16 11:57:58

33

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The relation between $Gal(Z_2(M)/Z_1(M))$ and $Gal(Z_2/Z_1)$

Published on 16 Apr 2026 - 11:57

score 66 · Answer 13 · 2026-04-16 08:26:58

66

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If $L/K$ finite field extension, $\alpha \in L$, then $\chi=f^{[L:K(\alpha)]}$ where $\chi$ and $f$ are the characteristic and minimal polynomials

Published on 16 Apr 2026 - 8:26

score 29 · Answer 14 · 2026-04-16 16:29:28

29

Views

Finitely many $\alpha$ s.t. all conjugates $\leq N$ ($N \geq 1$)

Published on 16 Apr 2026 - 16:29

score 85 · Answer 15 · 2026-04-13 17:23:54

85

Views

Find the degree of the field extension

Published on 13 Apr 2026 - 17:23

List Question

$F(r)$ self-normalizing in $\mathrm{gl}(F(r),F)$

Finding a projective resolution for a direct sum

Computing a Galois Group by Reducing Mod P

Reciprocal basis of an ideal in $\mathcal{O}_K$

Find the degree and a basis for $\mathbb{Q}(\sqrt{3} + \sqrt{5})$ over $\mathbb{Q}(\sqrt{15})$

Primitive element for $F=\Bbb Q(i,\sqrt{11},\sqrt{3})$ over $\Bbb Q$

Determining ring of integers using Computer Algebra Systems

Show $\Bbb Q[\sqrt[3]2]\cong \Bbb Q[x]/(x^3-2)$ via First Isomorphism Theorem

Showing that a $\mathbb{Q}$-automorphism of a field $E$ fixes $i$

How many roots does one add when considering the quotient of a polynomial ring?

How can I show that the polynomial $p = x^5 - x^3 - 2x^2 - 2x - 1$ is irreducible over $\Bbb Q$?

The relation between $Gal(Z_2(M)/Z_1(M))$ and $Gal(Z_2/Z_1)$

If $L/K$ finite field extension, $\alpha \in L$, then $\chi=f^{[L:K(\alpha)]}$ where $\chi$ and $f$ are the characteristic and minimal polynomials

Finitely many $\alpha$ s.t. all conjugates $\leq N$ ($N \geq 1$)

Find the degree of the field extension

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