Question

Let $G$ be a group such that $N\unlhd G$ and $H \le G$ are both solvable. Show that $NH$ is solvable.

score 49 · Answer 1 · 2026-03-26 19:01:52

49

Views

Let $G$ be a group such that $N\unlhd G$ and $H \le G$ are both solvable. Show that $NH$ is solvable.

Published on 26 Mar 2026 - 19:01

score 49 · Answer 2 · 2026-04-16 18:36:41

49

Views

Alternative derivation of the classical inequality $x^s\le 1+ s(x-1)$ for $0<s<1$

Published on 16 Apr 2026 - 18:36

score 70 · Answer 3 · 2026-04-13 16:37:26

70

Views

$a_{2n} \to L$ and $a_{2n-1} \to L$ implies $a_n \to L$

Published on 13 Apr 2026 - 16:37

score 243 · Answer 4 · 2026-04-29 08:42:55

243

Views

The segment connecting the midpoints of the diagonals of a trapezoid equals $\frac 1 2$ the difference of its bases

Published on 29 Apr 2026 - 8:42

score 171 · Answer 5 · 2026-04-16 09:51:39

171

Views

Splitting field of $x^3 +x +1$ over $\mathbb F_{11}$

Published on 16 Apr 2026 - 9:51

score 194 · Answer 6 · 2026-05-11 00:32:56

194

Views

Computation of Amalgamated Product $\mathbb{Z}_4 \ast_{\mathbb{Z}_2} \mathbb{Z}_6.$

Published on 11 May 2026 - 0:32

score 42 · Answer 7 · 2026-04-12 04:15:10

42

Views

Sum with unit step functions / Convolution of impulse function

Published on 12 Apr 2026 - 4:15

score 130 · Answer 8 · 2026-04-12 07:05:48

130

Views

Find the tangent between two points

Published on 12 Apr 2026 - 7:05

score 135 · Answer 9 · 2026-04-15 18:11:44

135

Views

Verify my proof of Viviani's Theorem: In an equilateral triangle, the sum of distances from an interior point to each side is constant

Published on 15 Apr 2026 - 18:11

score 70 · Answer 10 · 2026-04-11 23:18:50

70

Views

Relation between transitivity and intermediate fields of splitting field

Published on 11 Apr 2026 - 23:18

score 161 · Answer 11 · 2026-04-25 01:57:55

161

Views

Solution verification request - "Two robbers steal a necklace of black and white pearls" question

Published on 25 Apr 2026 - 1:57

score 641 · Answer 12 · 2026-04-13 06:19:37

641

Views

In how many ways can the letters of the word ASSASSINATION be arranged so that no two vowels are together?

Published on 13 Apr 2026 - 6:19

score 81 · Answer 13 · 2026-04-15 21:53:30

81

Views

Solving the laplacian over a square

Published on 15 Apr 2026 - 21:53

score 87 · Answer 14 · 2026-04-12 11:56:59

87

Views

Bounded and "weighted" sum of squares that needs to find another bound - Solved?

Published on 12 Apr 2026 - 11:56

score 48 · Answer 15 · 2026-04-11 23:46:25

48

Views

Proof (check) of Unique readability of Propositional Logic

Published on 11 Apr 2026 - 23:46

List Question

Let $G$ be a group such that $N\unlhd G$ and $H \le G$ are both solvable. Show that $NH$ is solvable.

Alternative derivation of the classical inequality $x^s\le 1+ s(x-1)$ for $0<s<1$

$a_{2n} \to L$ and $a_{2n-1} \to L$ implies $a_n \to L$

The segment connecting the midpoints of the diagonals of a trapezoid equals $\frac 1 2$ the difference of its bases

Splitting field of $x^3 +x +1$ over $\mathbb F_{11}$

Computation of Amalgamated Product $\mathbb{Z}_4 \ast_{\mathbb{Z}_2} \mathbb{Z}_6.$

Sum with unit step functions / Convolution of impulse function

Find the tangent between two points

Verify my proof of Viviani's Theorem: In an equilateral triangle, the sum of distances from an interior point to each side is constant

Relation between transitivity and intermediate fields of splitting field

Solution verification request - "Two robbers steal a necklace of black and white pearls" question

In how many ways can the letters of the word ASSASSINATION be arranged so that no two vowels are together?

Solving the laplacian over a square

Bounded and "weighted" sum of squares that needs to find another bound - Solved?

Proof (check) of Unique readability of Propositional Logic

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