Question

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

score 535 · Answer 1 · 2026-04-14 05:31:52

535

Views

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

Published on 14 Apr 2026 - 5:31

score 546 · Answer 2 · 2026-04-14 15:33:00

546

Views

Characteristic subgroups of a direct product of groups

Published on 14 Apr 2026 - 15:33

score 145 · Answer 3 · 2026-04-11 14:28:32

145

Views

Direct product and group generated by subgroups

Published on 11 Apr 2026 - 14:28

score 100 · Answer 4 · 2026-04-13 17:36:47

100

Views

Compute the direct product of two characters in GAP.

Published on 13 Apr 2026 - 17:36

score 213 · Answer 5 · 2026-04-14 07:53:05

213

Views

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

Published on 14 Apr 2026 - 7:53

score 84 · Answer 6 · 2026-04-11 07:11:30

84

Views

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

Published on 11 Apr 2026 - 7:11

score 71 · Answer 7 · 2026-04-15 17:23:01

71

Views

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

Published on 15 Apr 2026 - 17:23

score 486 · Answer 8 · 2026-04-12 20:52:55

486

Views

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

Published on 12 Apr 2026 - 20:52

score 134 · Answer 9 · 2026-04-13 05:31:15

134

Views

Semi-Direct product but not a direct products

Published on 13 Apr 2026 - 5:31

score 245 · Answer 10 · 2026-04-13 23:36:30

245

Views

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

Published on 13 Apr 2026 - 23:36

score 96 · Answer 11 · 2026-04-23 00:01:29

96

Views

Example of divisible direct product but not the direct sum

Published on 23 Apr 2026 - 0:01

score 47 · Answer 12 · 2026-04-14 03:26:21

47

Views

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

Published on 14 Apr 2026 - 3:26

score 195 · Answer 13 · 2026-04-12 13:08:42

195

Views

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

Published on 12 Apr 2026 - 13:08

score 145 · Answer 14 · 2026-04-15 04:04:38

145

Views

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

Published on 15 Apr 2026 - 4:04

score 95 · Answer 15 · 2026-05-11 01:13:06

95

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 11 May 2026 - 1:13

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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