Question

Is there a universal mapping property satisfied by the disjoint union of totally ordered sets?

score 532 · Answer 1 · 2014-12-29 02:22:35

532

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Is there a universal mapping property satisfied by the disjoint union of totally ordered sets?

Published on 29 Dec 2014 - 2:22

score 543 · Answer 2 · 2026-02-23 04:00:55

543

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Characteristic subgroups of a direct product of groups

Published on 23 Feb 2026 - 4:00

score 143 · Answer 3 · 2026-03-25 18:52:12

143

Views

Direct product and group generated by subgroups

Published on 25 Mar 2026 - 18:52

score 98 · Answer 4 · 2026-03-25 22:03:52

98

Views

Compute the direct product of two characters in GAP.

Published on 25 Mar 2026 - 22:03

score 210 · Answer 5 · 2019-10-13 18:59:02

210

Views

Understanding the "triangle" argument to find a homomorphism from a direct product to a group and other instances of the argument

Published on 13 Oct 2019 - 18:59

score 81 · Answer 6 · 2019-10-15 03:01:46

81

Views

Prove that $HK\approx H \times K$ iff $H,K \triangleleft G$ and $|H \cap K|=1$

Published on 15 Oct 2019 - 3:01

score 68 · Answer 7 · 2019-10-15 22:56:37

68

Views

Compute the left cosets of $\langle (12)\rangle \times \langle[1]\rangle$ in $S_3\times \Bbb Z_3$

Published on 15 Oct 2019 - 22:56

score 484 · Answer 8 · 2026-03-25 17:22:26

484

Views

About Weak-Direct Products being Normal Subgroups of the Direct Product

Published on 25 Mar 2026 - 17:22

score 132 · Answer 9 · 2026-03-25 18:51:09

132

Views

Semi-Direct product but not a direct products

Published on 25 Mar 2026 - 18:51

score 242 · Answer 10 · 2019-10-22 18:39:12

242

Views

Group is kernel of some homomorphism direct product $G \cong \ker(f) \oplus H$

Published on 22 Oct 2019 - 18:39

score 90 · Answer 11 · 2026-03-25 12:21:17

90

Views

Example of divisible direct product but not the direct sum

Published on 25 Mar 2026 - 12:21

score 44 · Answer 12 · 2019-10-25 01:53:59

44

Views

Showing $[H_1 \times K_1, H \times K] = [H_1, H] \times [K_1, K].$

Published on 25 Oct 2019 - 1:53

score 192 · Answer 13 · 2019-10-25 14:24:09

192

Views

Does $G\cong H\times K$ imply $H\unlhd G?$

Published on 25 Oct 2019 - 14:24

score 142 · Answer 14 · 2019-10-31 18:35:54

142

Views

Find number of subgroups of order $p$ in $\mathbb{Z}_p^n$

Published on 31 Oct 2019 - 18:35

score 92 · Answer 15 · 2026-03-25 23:42:36

92

Views

Let $H =\mathbb{Z}/2\mathbb{Z}\times G$ I want to show that H is isomorphic to a subgroup of $G$ and vice-versa

Published on 25 Mar 2026 - 23:42

List Question

Is there a universal mapping property satisfied by the disjoint union of totally ordered sets?

Characteristic subgroups of a direct product of groups

Direct product and group generated by subgroups

Compute the direct product of two characters in GAP.

Understanding the "triangle" argument to find a homomorphism from a direct product to a group and other instances of the argument

Prove that $HK\approx H \times K$ iff $H,K \triangleleft G$ and $|H \cap K|=1$

Compute the left cosets of $\langle (12)\rangle \times \langle[1]\rangle$ in $S_3\times \Bbb Z_3$

About Weak-Direct Products being Normal Subgroups of the Direct Product

Semi-Direct product but not a direct products

Group is kernel of some homomorphism direct product $G \cong \ker(f) \oplus H$

Example of divisible direct product but not the direct sum

Showing $[H_1 \times K_1, H \times K] = [H_1, H] \times [K_1, K].$

Does $G\cong H\times K$ imply $H\unlhd G?$

Find number of subgroups of order $p$ in $\mathbb{Z}_p^n$

Let $H =\mathbb{Z}/2\mathbb{Z}\times G$ I want to show that H is isomorphic to a subgroup of $G$ and vice-versa

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