Question

Finitely presented groups which are neither Hopfian nor cohopfian

score 116 · Answer 1 · 2026-03-25 11:13:48

116

Views

Finitely presented groups which are neither Hopfian nor cohopfian

Published on 25 Mar 2026 - 11:13

score 332 · Answer 2 · 2026-03-25 17:38:07

332

Views

Isomorphism between the dihedral group D2 and the integer group {-1,1}X{-1,1}

Published on 25 Mar 2026 - 17:38

score 251 · Answer 3 · 2026-03-26 01:28:13

251

Views

How to solve the problem from Topics In Algebra Herstein?

Published on 26 Mar 2026 - 1:28

score 75 · Answer 4 · 2018-11-07 17:03:51

75

Views

Is the diagram commutative

Published on 07 Nov 2018 - 17:03

score 44 · Answer 5 · 2026-03-26 13:01:42

44

Views

Using the first isomorphism theorem to prove subgroups

Published on 26 Mar 2026 - 13:01

score 45 · Answer 6 · 2026-03-25 15:53:02

45

Views

How to find set of all automorphism of G in given question without evaluating each bijective map?

Published on 25 Mar 2026 - 15:53

score 415 · Answer 7 · 2018-11-09 20:22:49

415

Views

Is D4 (the octic group) isomorphic to U(16) (group of units mod 16)?

Published on 09 Nov 2018 - 20:22

score 109 · Answer 8 · 2018-11-09 23:21:04

109

Views

How can we show that as groups $\mathbb Z[x] \times \mathbb Z \cong \mathbb Z[x] \times \mathbb Z \times \mathbb Z$?

Published on 09 Nov 2018 - 23:21

score 25 · Answer 9 · 2018-11-11 12:10:47

25

Views

How definition of isomorphism is defined?

Published on 11 Nov 2018 - 12:10

score 850 · Answer 10 · 2018-11-12 13:56:01

850

Views

Identify a group $G$ that has subgroups isomorphic to $\mathbb{Z}_n$ for all positive integer $n$

Published on 12 Nov 2018 - 13:56

score 1.5k · Answer 11 · 2026-03-25 14:25:55

1.5k

Views

Quotient group of $C^*$ by Circle group is isomorphic to $R^+$

Published on 25 Mar 2026 - 14:25

score 67 · Answer 12 · 2026-03-26 03:11:41

67

Views

How to find a homomorphic map in following question?

Published on 26 Mar 2026 - 3:11

score 32 · Answer 13 · 2018-11-17 14:20:14

32

Views

Is $H/L$ isomorphic to $K^\times K^$ where $K^*=(K_{\ne0},\cdot)$ with $K$ field and $H, L$ certain subgroups of $GL(2,K)$?

Published on 17 Nov 2018 - 14:20

score 141 · Answer 14 · 2026-03-25 06:04:45

141

Views

$(\mathbb Z/p \mathbb Z \rtimes \mathbb Z/q \mathbb Z) \times \mathbb Z/q \mathbb Z \cong\mathbb Z/p \mathbb Z \rtimes (\mathbb Z/q \mathbb Z)^2$?

Published on 25 Mar 2026 - 6:04

score 96 · Answer 15 · 2026-03-28 07:43:02

96

Views

Closed subgroup of $GL({\cal A})$

Published on 28 Mar 2026 - 7:43

List Question

Finitely presented groups which are neither Hopfian nor cohopfian

Isomorphism between the dihedral group D2 and the integer group {-1,1}X{-1,1}

How to solve the problem from Topics In Algebra Herstein?

Is the diagram commutative

Using the first isomorphism theorem to prove subgroups

How to find set of all automorphism of G in given question without evaluating each bijective map?

Is D4 (the octic group) isomorphic to U(16) (group of units mod 16)?

How can we show that as groups $\mathbb Z[x] \times \mathbb Z \cong \mathbb Z[x] \times \mathbb Z \times \mathbb Z$?

How definition of isomorphism is defined?

Identify a group $G$ that has subgroups isomorphic to $\mathbb{Z}_n$ for all positive integer $n$

Quotient group of $C^*$ by Circle group is isomorphic to $R^+$

How to find a homomorphic map in following question?

Is $H/L$ isomorphic to $K^\times K^$ where $K^*=(K_{\ne0},\cdot)$ with $K$ field and $H, L$ certain subgroups of $GL(2,K)$?

$(\mathbb Z/p \mathbb Z \rtimes \mathbb Z/q \mathbb Z) \times \mathbb Z/q \mathbb Z \cong\mathbb Z/p \mathbb Z \rtimes (\mathbb Z/q \mathbb Z)^2$?

Closed subgroup of $GL({\cal A})$

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