Question

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

score 141 · Answer 1 · 2026-04-12 20:58:05

141

Views

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

Published on 12 Apr 2026 - 20:58

score 132 · Answer 2 · 2026-04-15 08:38:34

132

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 15 Apr 2026 - 8:38

score 255 · Answer 3 · 2026-04-14 19:38:30

255

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 14 Apr 2026 - 19:38

score 394 · Answer 4 · 2026-04-17 05:23:23

394

Views

Dihedral and permutation groups isomorphism

Published on 17 Apr 2026 - 5:23

score 94 · Answer 5 · 2026-04-17 14:25:26

94

Views

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

Published on 17 Apr 2026 - 14:25

score 589 · Answer 6 · 2026-04-14 10:42:39

589

Views

Symmetric groups of sets with the same cardinality are isomorphic

Published on 14 Apr 2026 - 10:42

score 76 · Answer 7 · 2026-04-14 08:30:30

76

Views

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

Published on 14 Apr 2026 - 8:30

score 77 · Answer 8 · 2026-05-13 12:58:43

77

Views

isomorphism in ordered monoids

Published on 13 May 2026 - 12:58

score 66 · Answer 9 · 2026-04-15 14:24:32

66

Views

Proving the second isomorphism theorem for groups

Published on 15 Apr 2026 - 14:24

score 466 · Answer 10 · 2026-04-16 14:46:27

466

Views

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

Published on 16 Apr 2026 - 14:46

score 139 · Answer 11 · 2026-04-14 14:37:03

139

Views

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

Published on 14 Apr 2026 - 14:37

score 302 · Answer 12 · 2026-04-14 05:27:01

302

Views

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

Published on 14 Apr 2026 - 5:27

score 934 · Answer 13 · 2026-04-14 13:05:55

934

Views

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

Published on 14 Apr 2026 - 13:05

score 78 · Answer 14 · 2026-04-09 06:10:14

78

Views

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

Published on 09 Apr 2026 - 6:10

score 427 · Answer 15 · 2026-04-13 17:33:08

427

Views

Isomorphism between Z-modules

Published on 13 Apr 2026 - 17:33

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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