Question

Let $G = \mathbb{Z}_{512} \times \mathbb{Z}_{1729}$ and let $H = <([0],[1])>$. Show that $G/H$ is isomorphic to $\mathbb{Z}_{512}$.

score 67 · Answer 1 · 2026-03-23 09:05:31

67

Views

Let $G = \mathbb{Z}_{512} \times \mathbb{Z}_{1729}$ and let $H = <([0],[1])>$. Show that $G/H$ is isomorphic to $\mathbb{Z}_{512}$.

Published on 23 Mar 2026 - 9:05

score 129 · Answer 2 · 2026-03-25 23:39:21

129

Views

A line that goes through the orthocenter and parallel to one side of the triangle

Published on 25 Mar 2026 - 23:39

score 680 · Answer 3 · 2018-03-14 15:15:56

680

Views

Proof verification: topology on the extended real line

Published on 14 Mar 2018 - 15:15

score 685 · Answer 4 · 2018-03-14 15:20:29

685

Views

Proof verification for no bijection between a finite set and a proper subset of it.

Published on 14 Mar 2018 - 15:20

score 327 · Answer 5 · 2018-03-14 17:47:37

327

Views

Prove that there are infinitely many primes of the form $25m+7$.

Published on 14 Mar 2018 - 17:47

score 1.2k · Answer 6 · 2026-03-27 03:59:18

1.2k

Views

Prove that $||x+y|| \leq ||x|| +||y||$

Published on 27 Mar 2026 - 3:59

score 123 · Answer 7 · 2026-03-25 07:46:03

123

Views

Prove that if $\phi: G\to H$ is a homomorphism and $G_{1}\leq G$ is cyclic, then $\phi (G_{1})$ is cyclic.

Published on 25 Mar 2026 - 7:46

score 50 · Answer 8 · 2018-03-15 00:10:46

50

Views

Implicit solution to ODE or just error?

Published on 15 Mar 2018 - 0:10

score 43 · Answer 9 · 2018-03-15 00:12:15

43

Views

Prove that $\overline{\ln(\frac{c}{\overline{z}}+d)}=\ln(\frac{c}{z}+d)$

Published on 15 Mar 2018 - 0:12

score 145 · Answer 10 · 2026-03-25 14:11:07

145

Views

Is this evidence that $g(x)$ can be analytically continued?

Published on 25 Mar 2026 - 14:11

score 41 · Answer 11 · 2026-03-25 20:41:30

41

Views

Proof verification on invertible matrices

Published on 25 Mar 2026 - 20:41

score 1.7k · Answer 12 · 2026-03-25 07:47:18

1.7k

Views

Proof/Answer Verification: LimSup And LimInf

Published on 25 Mar 2026 - 7:47

score 142 · Answer 13 · 2018-03-15 03:28:59

142

Views

Modulus of first order ODE increasing implies solution convex up

Published on 15 Mar 2018 - 3:28

score 972 · Answer 14 · 2026-03-25 23:52:22

972

Views

Moving from $x^2+x+1=0$ to $x+1+\frac1x=0$ seems to introduce a solution, how is this possible?

Published on 25 Mar 2026 - 23:52

score 71 · Answer 15 · 2018-03-15 11:28:57

71

Views

Let $a \in G$ be a finite ordered element and let $n \in \mathbb{Z}$. Prove that $a$ and $a^n$ have equal orders iff $\gcd\big(n, o(a)\big)=1$.

Published on 15 Mar 2018 - 11:28

List Question

Let $G = \mathbb{Z}_{512} \times \mathbb{Z}_{1729}$ and let $H = <([0],[1])>$. Show that $G/H$ is isomorphic to $\mathbb{Z}_{512}$.

A line that goes through the orthocenter and parallel to one side of the triangle

Proof verification: topology on the extended real line

Proof verification for no bijection between a finite set and a proper subset of it.

Prove that there are infinitely many primes of the form $25m+7$.

Prove that $||x+y|| \leq ||x|| +||y||$

Prove that if $\phi: G\to H$ is a homomorphism and $G_{1}\leq G$ is cyclic, then $\phi (G_{1})$ is cyclic.

Implicit solution to ODE or just error?

Prove that $\overline{\ln(\frac{c}{\overline{z}}+d)}=\ln(\frac{c}{z}+d)$

Is this evidence that $g(x)$ can be analytically continued?

Proof verification on invertible matrices

Proof/Answer Verification: LimSup And LimInf

Modulus of first order ODE increasing implies solution convex up

Moving from $x^2+x+1=0$ to $x+1+\frac1x=0$ seems to introduce a solution, how is this possible?

Let $a \in G$ be a finite ordered element and let $n \in \mathbb{Z}$. Prove that $a$ and $a^n$ have equal orders iff $\gcd\big(n, o(a)\big)=1$.

Trending Questions

Popular # Hahtags

Popular Questions