Question

To prove the $(\Bbb R , +)$ is isomorphic to $(\Bbb C , +)$ without using metric space?

score 138 · Answer 1 · 2019-05-15 10:45:40

138

Views

To prove the $(\Bbb R , +)$ is isomorphic to $(\Bbb C , +)$ without using metric space?

Published on 15 May 2019 - 10:45

score 130 · Answer 2 · 2026-03-27 15:20:09

130

Views

Prove that $H$ is a system of representatives for the cosets of $N$ in $G$, and that $G/N$ is isomorphic to $H$.

Published on 27 Mar 2026 - 15:20

score 252 · Answer 3 · 2019-05-20 06:36:52

252

Views

Is the symmetry group of the square isomorphic to $\mathbb{Z_8}$? to $\mathbb{S_8}$? to a subgroup of $\mathbb{S}_8$?

Published on 20 May 2019 - 6:36

score 389 · Answer 4 · 2019-05-20 11:47:24

389

Views

Dihedral and permutation groups isomorphism

Published on 20 May 2019 - 11:47

score 91 · Answer 5 · 2019-05-21 11:43:50

91

Views

Cayley's theorem: Is $C_5$ isomorphic to $ \langle (1 2 3 4 5) \rangle \leq S_{5}$?

Published on 21 May 2019 - 11:43

score 586 · Answer 6 · 2019-05-23 13:44:07

586

Views

Symmetric groups of sets with the same cardinality are isomorphic

Published on 23 May 2019 - 13:44

score 74 · Answer 7 · 2026-03-27 04:57:07

74

Views

Determine whether there is an onto homomorphism from $(\mathbb{Z}_6,+)$ to $(\mathrm{Z}_3,+)$

Published on 27 Mar 2026 - 4:57

score 69 · Answer 8 · 2026-03-25 08:44:03

69

Views

isomorphism in ordered monoids

Published on 25 Mar 2026 - 8:44

score 63 · Answer 9 · 2019-05-28 16:38:15

63

Views

Proving the second isomorphism theorem for groups

Published on 28 May 2019 - 16:38

score 463 · Answer 10 · 2019-05-28 18:31:12

463

Views

$G$ is a non-abelian group of order 6 $ \implies G \approx S_3 $. Simpler proof?

Published on 28 May 2019 - 18:31

score 137 · Answer 11 · 2026-03-25 20:36:29

137

Views

Two metric spaces X and Y being isometric implies group of isometries are isomorphic

Published on 25 Mar 2026 - 20:36

score 299 · Answer 12 · 2019-06-01 21:16:58

299

Views

Is it true that if two groups have same number of elements of order n, then they are isomorphic?

Published on 01 Jun 2019 - 21:16

score 931 · Answer 13 · 2019-06-02 04:36:13

931

Views

Show that GL(n,R) is isomorphic to GL($R^n$)

Published on 02 Jun 2019 - 4:36

score 77 · Answer 14 · 2026-02-23 01:05:33

77

Views

Reference Request: An operation preserving bijection from a magma to a group must be a group isomorphism

Published on 23 Feb 2026 - 1:05

score 424 · Answer 15 · 2019-06-11 12:46:42

424

Views

Isomorphism between Z-modules

Published on 11 Jun 2019 - 12:46

List Question

To prove the $(\Bbb R , +)$ is isomorphic to $(\Bbb C , +)$ without using metric space?

Prove that $H$ is a system of representatives for the cosets of $N$ in $G$, and that $G/N$ is isomorphic to $H$.

Is the symmetry group of the square isomorphic to $\mathbb{Z_8}$? to $\mathbb{S_8}$? to a subgroup of $\mathbb{S}_8$?

Dihedral and permutation groups isomorphism

Cayley's theorem: Is $C_5$ isomorphic to $ \langle (1 2 3 4 5) \rangle \leq S_{5}$?

Symmetric groups of sets with the same cardinality are isomorphic

Determine whether there is an onto homomorphism from $(\mathbb{Z}_6,+)$ to $(\mathrm{Z}_3,+)$

isomorphism in ordered monoids

Proving the second isomorphism theorem for groups

$G$ is a non-abelian group of order 6 $ \implies G \approx S_3 $. Simpler proof?

Two metric spaces X and Y being isometric implies group of isometries are isomorphic

Is it true that if two groups have same number of elements of order n, then they are isomorphic?

Show that GL(n,R) is isomorphic to GL($R^n$)

Reference Request: An operation preserving bijection from a magma to a group must be a group isomorphism

Isomorphism between Z-modules

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