Question

Proof verification: For isomorphism $\phi : G\to H$, prove that $G$ has subgroup of order $n$ iff $H$ has subgroup of order $n$.

score 329 · Answer 1 · 2018-03-03 01:17:37

329

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Proof verification: For isomorphism $\phi : G\to H$, prove that $G$ has subgroup of order $n$ iff $H$ has subgroup of order $n$.

Published on 03 Mar 2018 - 1:17

score 4.3k · Answer 2 · 2026-03-26 06:10:32

4.3k

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Proof that $\det(AB) = \det(A) \det(B)$

Published on 26 Mar 2026 - 6:10

score 1.6k · Answer 3 · 2018-03-03 02:59:16

1.6k

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Proof verification: For isomorphism $\phi : G\to H$, show that if $e_{G}\in G$ and $e_{H}\in H$, then $\phi (e_{G})=e_{H}$.

Published on 03 Mar 2018 - 2:59

score 842 · Answer 4 · 2026-03-22 19:34:34

842

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Showing commutative semisimple ring with unity is direct sum of fields

Published on 22 Mar 2026 - 19:34

score 157 · Answer 5 · 2018-03-03 06:23:01

157

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Let $a_n \rightarrow A$ and $b_n \rightarrow B$ as $n \rightarrow \infty$, with $a_n \leq b_n$ for all $n$. Show $A \leq B$.

Published on 03 Mar 2018 - 6:23

score 136 · Answer 6 · 2026-03-27 10:07:10

136

Views

Complex analysis prove uniform convergence question

Published on 27 Mar 2026 - 10:07

score 52 · Answer 7 · 2018-03-03 10:17:24

52

Views

Compute the curveintegral $\int_\gamma x(4x^2+4y+1) \ dx+16y \ dy.$

Published on 03 Mar 2018 - 10:17

score 58 · Answer 8 · 2018-03-03 10:46:39

58

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Is this proof of the Sup and Inf of $S = \lbrace\frac{2}{n}\mid n \in\lbrace {1, 2, 3, 4,...}\rbrace\rbrace$ correct?

Published on 03 Mar 2018 - 10:46

score 220 · Answer 9 · 2018-03-03 12:16:25

220

Views

Proof that $x=a$ is solution of polynomial $P(x)=(x-a)Q(x)$

Published on 03 Mar 2018 - 12:16

score 151 · Answer 10 · 2026-03-25 12:55:13

151

Views

What is $5^{250} \bmod{26}$, step by step?

Published on 25 Mar 2026 - 12:55

score 28 · Answer 11 · 2018-03-03 19:42:22

28

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Proof verification: For isomorphism $\phi: G\to H$, show that $|\phi (a)|=|a|$ for all $a\in G$.

Published on 03 Mar 2018 - 19:42

score 65 · Answer 12 · 2018-03-03 21:09:56

65

Views

Prove that $\lim_{y \to x-}f(y) = a$ if for every sequence $(x_n)_n$ in $\mathbb{R}$ that increases towards x, the sequence $f(x_n)$ converges to $a$

Published on 03 Mar 2018 - 21:09

score 1.9k · Answer 13 · 2026-03-25 15:17:48

1.9k

Views

Proving that $R$ is a field $\iff (x)$ is a maximal ideal in $R[x]$

Published on 25 Mar 2026 - 15:17

score 35 · Answer 14 · 2018-03-03 22:57:46

35

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Evaluate $\int_\gamma\left(\sqrt{x^2-y}+\frac{x^2}{\sqrt{x^2-y}}\right)dx-\frac{x}{2\sqrt{x^2-y}} \ dy$

Published on 03 Mar 2018 - 22:57

score 68 · Answer 15 · 2018-03-04 02:24:35

68

Views

Proof check of inf f properties.

Published on 04 Mar 2018 - 2:24

List Question

Proof verification: For isomorphism $\phi : G\to H$, prove that $G$ has subgroup of order $n$ iff $H$ has subgroup of order $n$.

Proof that $\det(AB) = \det(A) \det(B)$

Proof verification: For isomorphism $\phi : G\to H$, show that if $e_{G}\in G$ and $e_{H}\in H$, then $\phi (e_{G})=e_{H}$.

Showing commutative semisimple ring with unity is direct sum of fields

Let $a_n \rightarrow A$ and $b_n \rightarrow B$ as $n \rightarrow \infty$, with $a_n \leq b_n$ for all $n$. Show $A \leq B$.

Complex analysis prove uniform convergence question

Compute the curveintegral $\int_\gamma x(4x^2+4y+1) \ dx+16y \ dy.$

Is this proof of the Sup and Inf of $S = \lbrace\frac{2}{n}\mid n \in\lbrace {1, 2, 3, 4,...}\rbrace\rbrace$ correct?

Proof that $x=a$ is solution of polynomial $P(x)=(x-a)Q(x)$

What is $5^{250} \bmod{26}$, step by step?

Proof verification: For isomorphism $\phi: G\to H$, show that $|\phi (a)|=|a|$ for all $a\in G$.

Prove that $\lim_{y \to x-}f(y) = a$ if for every sequence $(x_n)_n$ in $\mathbb{R}$ that increases towards x, the sequence $f(x_n)$ converges to $a$

Proving that $R$ is a field $\iff (x)$ is a maximal ideal in $R[x]$

Evaluate $\int_\gamma\left(\sqrt{x^2-y}+\frac{x^2}{\sqrt{x^2-y}}\right)dx-\frac{x}{2\sqrt{x^2-y}} \ dy$

Proof check of inf f properties.

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