Question

Prove the number of conjugates of K in L is $[Gal(L|F) : N]$ where $N$ is the normalizer subgroup

score 81 · Answer 1 · 2026-03-26 14:34:46

81

Views

Prove the number of conjugates of K in L is $[Gal(L|F) : N]$ where $N$ is the normalizer subgroup

Published on 26 Mar 2026 - 14:34

score 188 · Answer 2 · 2026-03-25 07:46:03

188

Views

What's the closure of the equivalence classes of numbers the same distance from $\langle2\rangle$ by the Collatz graph?

Published on 25 Mar 2026 - 7:46

score 101 · Answer 3 · 2026-04-02 01:36:06

101

Views

$A,B$ are $l \times m $ matrices of rank $l.$ Then there is an invertible matrix $P$ such that $AP=B,$

Published on 02 Apr 2026 - 1:36

score 75 · Answer 4 · 2026-03-25 16:13:19

75

Views

Show that $R$ is a field.

Published on 25 Mar 2026 - 16:13

score 32 · Answer 5 · 2026-03-29 14:57:15

32

Views

Show that extension is simple

Published on 29 Mar 2026 - 14:57

score 29 · Answer 6 · 2026-03-27 08:56:42

29

Views

Computing the number of ways one can choose three non-zero distinct elements from a finite field satisfying a certain condition

Published on 27 Mar 2026 - 8:56

score 195 · Answer 7 · 2026-03-25 03:02:53

195

Views

Can one write a finite extension of local fields as a compositum of fields whose degrees are prime powers?

Published on 25 Mar 2026 - 3:02

score 2.9k · Answer 8 · 2026-04-01 14:43:04

2.9k

Views

Examples of finite commutative rings that are not fields

Published on 01 Apr 2026 - 14:43

score 306 · Answer 9 · 2026-03-29 15:03:41

306

Views

Basis of finite Galois extension generated by Galois group acting on single element.

Published on 29 Mar 2026 - 15:03

score 992 · Answer 10 · 2018-10-09 14:03:31

992

Views

Every algebraically closed field is infinite

Published on 09 Oct 2018 - 14:03

score 388 · Answer 11 · 2026-03-25 03:22:46

388

Views

Why does every module over an $R$ conmutative ring is free, if $R$ is a field?

Published on 25 Mar 2026 - 3:22

score 55 · Answer 12 · 2026-03-25 01:18:20

55

Views

Does sufficient information on the multiplicative group of the fraction field of a GCD and Factorization domain, captures unique factorization?

Published on 25 Mar 2026 - 1:18

score 688 · Answer 13 · 2026-03-29 13:23:57

688

Views

Is contraction of radical ideals and/or prime ideals surjective in this case?

Published on 29 Mar 2026 - 13:23

score 44 · Answer 14 · 2018-10-10 11:06:03

44

Views

Show that this extension is finite?

Published on 10 Oct 2018 - 11:06

score 136 · Answer 15 · 2026-03-25 16:20:51

136

Views

Find the condition on $a, b$ such that the field of $x^3+ax+b\in\Bbb{Q}[x]$ has degree of extension 6.

Published on 25 Mar 2026 - 16:20

List Question

Prove the number of conjugates of K in L is $[Gal(L|F) : N]$ where $N$ is the normalizer subgroup

What's the closure of the equivalence classes of numbers the same distance from $\langle2\rangle$ by the Collatz graph?

$A,B$ are $l \times m $ matrices of rank $l.$ Then there is an invertible matrix $P$ such that $AP=B,$

Show that $R$ is a field.

Show that extension is simple

Computing the number of ways one can choose three non-zero distinct elements from a finite field satisfying a certain condition

Can one write a finite extension of local fields as a compositum of fields whose degrees are prime powers?

Examples of finite commutative rings that are not fields

Basis of finite Galois extension generated by Galois group acting on single element.

Every algebraically closed field is infinite

Why does every module over an $R$ conmutative ring is free, if $R$ is a field?

Does sufficient information on the multiplicative group of the fraction field of a GCD and Factorization domain, captures unique factorization?

Is contraction of radical ideals and/or prime ideals surjective in this case?

Show that this extension is finite?

Find the condition on $a, b$ such that the field of $x^3+ax+b\in\Bbb{Q}[x]$ has degree of extension 6.

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