Question

Proof Verification $(\mathbb{Q},+)$ is not isomorphic to $(\mathbb{R}, +)$.

score 718 · Answer 1 · 2019-09-05 03:26:21

718

Views

Proof Verification $(\mathbb{Q},+)$ is not isomorphic to $(\mathbb{R}, +)$.

Published on 05 Sep 2019 - 3:26

score 952 · Answer 2 · 2026-03-27 21:57:45

952

Views

Classify all subgroups of $\Bbb Z.$ Show that all but one of these are isomorphic to $\Bbb Z$ itself.

Published on 27 Mar 2026 - 21:57

score 516 · Answer 3 · 2026-03-27 22:00:38

516

Views

How to show that a group $G$ is isomorphic to a subgroup of $GL_2(\mathbb{R})$

Published on 27 Mar 2026 - 22:00

score 169 · Answer 4 · 2026-03-27 10:12:49

169

Views

To Show that all ﬁbers of this map has exactly $|H \cap K|$ elements and $|HK| = \frac{|H|\times|K|}{|H\cap K|}$

Published on 27 Mar 2026 - 10:12

score 42 · Answer 5 · 2019-09-06 01:48:23

42

Views

Proof Verification, extend $\varphi(x^n)=\varphi(x)^n$ for all $n\in\mathbb{Z}^+$ to all integers

Published on 06 Sep 2019 - 1:48

score 129 · Answer 6 · 2019-09-08 11:32:32

129

Views

Given $G,H_1,H_2$ finite abelian groups and $G\times H_1 \cong G\times H_2$ then $H_1 \cong H_2$

Published on 08 Sep 2019 - 11:32

score 124 · Answer 7 · 2019-09-09 13:20:38

124

Views

Show that $\operatorname{Aff}(3)$ is isomorphic to $S_3$, the symmetric group of all permutations of 3 objects.

Published on 09 Sep 2019 - 13:20

score 296 · Answer 8 · 2026-03-25 20:52:21

296

Views

Isomorphism classes and isometries

Published on 25 Mar 2026 - 20:52

score 62 · Answer 9 · 2019-09-13 03:10:52

62

Views

Proving Isomorphism Linear SubSpaces

Published on 13 Sep 2019 - 3:10

score 111 · Answer 10 · 2019-09-13 17:47:48

111

Views

Inner product and isomorphism

Published on 13 Sep 2019 - 17:47

score 287 · Answer 11 · 2019-09-16 19:14:39

287

Views

Structure transport using a bijection

Published on 16 Sep 2019 - 19:14

score 956 · Answer 12 · 2026-03-27 13:20:21

956

Views

A step of proof of fundamental theorem of homomorphism of groups

Published on 27 Mar 2026 - 13:20

score 202 · Answer 13 · 2026-03-27 21:59:20

202

Views

If $H$ and $K$ are conjugate in $G$, are their normalizers equal, or just isomorphic?

Published on 27 Mar 2026 - 21:59

score 300 · Answer 14 · 2026-03-27 06:12:39

300

Views

How we can find the symmetric group with least $n$ whose subgroup of it is isomorphic to $G$?

Published on 27 Mar 2026 - 6:12

score 22 · Answer 15 · 2026-03-27 13:48:58

22

Views

If $S,T\subseteq R$ing are multiplicative & $\forall x\in S,y\in T,\exists n,x^n\in T,y^n\in S$ then $\exists$ isomorphism:$S^{-1}R\to T^{-1}R$

Published on 27 Mar 2026 - 13:48

List Question

Proof Verification $(\mathbb{Q},+)$ is not isomorphic to $(\mathbb{R}, +)$.

Classify all subgroups of $\Bbb Z.$ Show that all but one of these are isomorphic to $\Bbb Z$ itself.

How to show that a group $G$ is isomorphic to a subgroup of $GL_2(\mathbb{R})$

To Show that all ﬁbers of this map has exactly $|H \cap K|$ elements and $|HK| = \frac{|H|\times|K|}{|H\cap K|}$

Proof Verification, extend $\varphi(x^n)=\varphi(x)^n$ for all $n\in\mathbb{Z}^+$ to all integers

Given $G,H_1,H_2$ finite abelian groups and $G\times H_1 \cong G\times H_2$ then $H_1 \cong H_2$

Show that $\operatorname{Aff}(3)$ is isomorphic to $S_3$, the symmetric group of all permutations of 3 objects.

Isomorphism classes and isometries

Proving Isomorphism Linear SubSpaces

Inner product and isomorphism

Structure transport using a bijection

A step of proof of fundamental theorem of homomorphism of groups

If $H$ and $K$ are conjugate in $G$, are their normalizers equal, or just isomorphic?

How we can find the symmetric group with least $n$ whose subgroup of it is isomorphic to $G$?

If $S,T\subseteq R$ing are multiplicative & $\forall x\in S,y\in T,\exists n,x^n\in T,y^n\in S$ then $\exists$ isomorphism:$S^{-1}R\to T^{-1}R$

Trending Questions

Popular # Hahtags

Popular Questions