Question

If $|G| = p^nq$ then $G$ has only one normal subgroup of order $q$

score 337 · Answer 1 · 2026-04-09 00:10:09

337

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If $|G| = p^nq$ then $G$ has only one normal subgroup of order $q$

Published on 09 Apr 2026 - 0:10

score 59 · Answer 2 · 2026-04-10 03:12:54

59

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How to show that every group in the normal series of $G$ is normal in $G$

Published on 10 Apr 2026 - 3:12

score 697 · Answer 3 · 2026-03-25 06:07:03

697

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$(x^a-y^b)$ is a prime ideal in $R[x,y]$ where $R$ is a domain and $\gcd(a,b)=1$.

Published on 25 Mar 2026 - 6:07

score 63 · Answer 4 · 2026-04-10 13:25:30

63

Views

Cosine Summation Lemma

Published on 10 Apr 2026 - 13:25

score 28 · Answer 5 · 2026-03-25 06:07:11

28

Views

What is the expected difference in the gap of two polynomials in $Z_2[x_1, ..., x_n]$ when adding a randomly chosen variable $x_i, i \in [n]$?

Published on 25 Mar 2026 - 6:07

score 95 · Answer 6 · 2026-04-12 10:53:53

95

Views

Fulton and Harris $\mathfrak{sl}_3(\mathbb{C})$ representations: What is $L$?

Published on 12 Apr 2026 - 10:53

score 103 · Answer 7 · 2026-04-01 11:00:01

103

Views

Let $p(x)=x^3-6x-6$

Published on 01 Apr 2026 - 11:00

score 134 · Answer 8 · 2018-01-26 02:33:05

134

Views

Every prime ideal of the integers is a maximal ideal. Assume the ideal is not $⟨0⟩$.

Published on 26 Jan 2018 - 2:33

score 381 · Answer 9 · 2026-04-11 19:40:55

381

Views

Greatest Common Divisors in integral domains

Published on 11 Apr 2026 - 19:40

score 69 · Answer 10 · 2026-04-09 02:52:03

69

Views

Show that no group has $D_n$ as its derived subgroup.

Published on 09 Apr 2026 - 2:52

score 87 · Answer 11 · 2026-03-25 01:18:51

87

Views

Finding the Galois group of $\mathbb{Q}(\alpha,i)|\mathbb{Q}$, whereby $\alpha^2 = \frac{3}{2}+\frac{1}{2}i\sqrt7$

Published on 25 Mar 2026 - 1:18

score 24 · Answer 12 · 2026-03-25 12:19:26

24

Views

easy question about a specific free resolution of $A_f$

Published on 25 Mar 2026 - 12:19

score 64 · Answer 13 · 2026-04-12 11:18:32

64

Views

Modules of algebraic integers

Published on 12 Apr 2026 - 11:18

score 119 · Answer 14 · 2018-01-26 13:08:09

119

Views

What is the smallest group containing $f$ and $g$ isomorphic to?

Published on 26 Jan 2018 - 13:08

score 263 · Answer 15 · 2026-03-25 06:04:12

263

Views

Algebraic set is irreducible $\iff$ its algebra has no zero divisors

Published on 25 Mar 2026 - 6:04

List Question

If $|G| = p^nq$ then $G$ has only one normal subgroup of order $q$

How to show that every group in the normal series of $G$ is normal in $G$

$(x^a-y^b)$ is a prime ideal in $R[x,y]$ where $R$ is a domain and $\gcd(a,b)=1$.

Cosine Summation Lemma

What is the expected difference in the gap of two polynomials in $Z_2[x_1, ..., x_n]$ when adding a randomly chosen variable $x_i, i \in [n]$?

Fulton and Harris $\mathfrak{sl}_3(\mathbb{C})$ representations: What is $L$?

Let $p(x)=x^3-6x-6$

Every prime ideal of the integers is a maximal ideal. Assume the ideal is not $⟨0⟩$.

Greatest Common Divisors in integral domains

Show that no group has $D_n$ as its derived subgroup.

Finding the Galois group of $\mathbb{Q}(\alpha,i)|\mathbb{Q}$, whereby $\alpha^2 = \frac{3}{2}+\frac{1}{2}i\sqrt7$

easy question about a specific free resolution of $A_f$

Modules of algebraic integers

What is the smallest group containing $f$ and $g$ isomorphic to?

Algebraic set is irreducible $\iff$ its algebra has no zero divisors

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