Question

Let $G_1$ and $G_2$ be groups, each with two/three/four elements. Is it true that $G_1\cong G_2$?

score 90 · Answer 1 · 2017-03-20 16:36:27

90

Views

Let $G_1$ and $G_2$ be groups, each with two/three/four elements. Is it true that $G_1\cong G_2$?

Published on 20 Mar 2017 - 16:36

score 531 · Answer 2 · 2026-02-23 07:59:10

531

Views

Question on Smith normal form and isomorphism

Published on 23 Feb 2026 - 7:59

score 392 · Answer 3 · 2017-03-23 20:04:52

392

Views

Prove that if $S: U\rightarrow V$ and $T: V\rightarrow W$ are isomorphisms, then $TS$ is also an isomorphism?

Published on 23 Mar 2017 - 20:04

score 545 · Answer 4 · 2026-03-29 13:47:02

545

Views

Embedding of fields

Published on 29 Mar 2026 - 13:47

score 68 · Answer 5 · 2017-03-24 17:50:53

68

Views

Isomorphism between $Hom$ and $\mathbb{Z}_n$

Published on 24 Mar 2017 - 17:50

score 89 · Answer 6 · 2026-03-28 21:06:46

89

Views

Why $K = F[x]/(f(x))$ contains a root of $f(x)$, an irreducible polynomial

Published on 28 Mar 2026 - 21:06

score 45 · Answer 7 · 2026-03-28 17:25:46

45

Views

Isomorphism from $\Bbb Z_{2}[x]/(x^2+x)$ to $\Bbb Z_{2}$x$\Bbb Z_{2}$

Published on 28 Mar 2026 - 17:25

score 44 · Answer 8 · 2017-03-26 17:19:30

44

Views

Show $G$ is isomorphic to $X \times Y$

Published on 26 Mar 2017 - 17:19

score 1.3k · Answer 9 · 2017-03-26 20:55:40

1.3k

Views

Difference between the Lorentz group and the restricted Lorentz group

Published on 26 Mar 2017 - 20:55

score 152 · Answer 10 · 2017-03-27 18:55:33

152

Views

Isomorphism Types of Abelian Groups?

Published on 27 Mar 2017 - 18:55

score 83 · Answer 11 · 2026-03-26 03:18:36

83

Views

How to determine all the isomorphisms

Published on 26 Mar 2026 - 3:18

score 155 · Answer 12 · 2017-03-28 04:05:39

155

Views

How can we show that $\langle u,v^2\rangle \cong \mathbb Z_2\times \mathbb Z_4$, where $u,v^2\in\langle u,v :u^2=v^8=1,vu=uv^5\rangle$?

Published on 28 Mar 2017 - 4:05

score 423 · Answer 13 · 2026-03-31 15:13:01

423

Views

If $G$ is infinite cyclic group, then identity map and inverse map is the only isomorphism.

Published on 31 Mar 2026 - 15:13

score 791 · Answer 14 · 2017-04-01 00:25:04

791

Views

Elementary divisors and invariant factors of finite abelian groups $U_{17}$ and $U_{45}$

Published on 01 Apr 2017 - 0:25

score 59 · Answer 15 · 2026-03-28 22:24:34

59

Views

isomorphism function

Published on 28 Mar 2026 - 22:24

List Question

Let $G_1$ and $G_2$ be groups, each with two/three/four elements. Is it true that $G_1\cong G_2$?

Question on Smith normal form and isomorphism

Prove that if $S: U\rightarrow V$ and $T: V\rightarrow W$ are isomorphisms, then $TS$ is also an isomorphism?

Embedding of fields

Isomorphism between $Hom$ and $\mathbb{Z}_n$

Why $K = F[x]/(f(x))$ contains a root of $f(x)$, an irreducible polynomial

Isomorphism from $\Bbb Z_{2}[x]/(x^2+x)$ to $\Bbb Z_{2}$x$\Bbb Z_{2}$

Show $G$ is isomorphic to $X \times Y$

Difference between the Lorentz group and the restricted Lorentz group

Isomorphism Types of Abelian Groups?

How to determine all the isomorphisms

How can we show that $\langle u,v^2\rangle \cong \mathbb Z_2\times \mathbb Z_4$, where $u,v^2\in\langle u,v :u^2=v^8=1,vu=uv^5\rangle$?

If $G$ is infinite cyclic group, then identity map and inverse map is the only isomorphism.

Elementary divisors and invariant factors of finite abelian groups $U_{17}$ and $U_{45}$

isomorphism function

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