Question

Does the following diagram (2) commute by the axioms for a direct limit?

score 80 · Answer 1 · 2020-01-27 21:46:17

80

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Does the following diagram (2) commute by the axioms for a direct limit?

Published on 27 Jan 2020 - 21:46

score 385 · Answer 2 · 2020-02-07 07:35:36

385

Views

Prove direct product of elements of subgroup is a subgroup of direct products of the group

Published on 07 Feb 2020 - 7:35

score 1.4k · Answer 3 · 2020-02-18 20:42:24

1.4k

Views

Direct Product vs. Cartesian Product

Published on 18 Feb 2020 - 20:42

score 115 · Answer 4 · 2026-03-25 20:41:50

115

Views

Direct Product of a Clean Rings

Published on 25 Mar 2026 - 20:41

score 318 · Answer 5 · 2020-03-03 15:55:56

318

Views

The product of finitely many cyclic groups is cyclic iff the order of the groups are co-primes.

Published on 03 Mar 2020 - 15:55

score 130 · Answer 6 · 2020-03-12 11:18:00

130

Views

Generalization of direct product in group theory

Published on 12 Mar 2020 - 11:18

score 351 · Answer 7 · 2020-03-13 13:24:34

351

Views

Direct product is cancellative for finite groups.

Published on 13 Mar 2020 - 13:24

score 410 · Answer 8 · 2020-03-25 17:23:44

410

Views

Decomposing a group as a direct product of its kernel and image

Published on 25 Mar 2020 - 17:23

score 405 · Answer 9 · 2020-03-25 18:29:07

405

Views

Prove that the symmetric group $S_n$ has a subgroup isomorphic to $\mathbb{Z}_7 \times \mathbb{Z}_7$ iff $n \ge 14$.

Published on 25 Mar 2020 - 18:29

score 40 · Answer 10 · 2020-03-26 21:46:16

40

Views

A $p$-group action on a cartesian product.

Published on 26 Mar 2020 - 21:46

score 94 · Answer 11 · 2020-03-28 03:23:44

94

Views

Let $H_i$ be a subgroup of $G_i$ for $i=1,2,\dots,n.$ Prove that $H_1×\dots × H_n$ is a subgroup of $G_1 ×\dots × G_n.$

Published on 28 Mar 2020 - 3:23

score 28 · Answer 12 · 2020-04-01 22:14:04

28

Views

Relation between group product and quotient group product

Published on 01 Apr 2020 - 22:14

score 134 · Answer 13 · 2026-03-25 12:49:50

134

Views

The Theory of Finite Groups - An introdution - Hans Kurzweil, Bernd Stellmacher.

Published on 25 Mar 2026 - 12:49

score 184 · Answer 14 · 2026-03-26 01:25:16

184

Views

Homomorphisms from $\prod_{i\in\mathbb Z}\mathbb Z $ to $\oplus_{i\in\mathbb Z}\mathbb Z$ that fixes $\oplus_{i\in\mathbb Z}\mathbb Z$

Published on 26 Mar 2026 - 1:25

score 40 · Answer 15 · 2020-04-08 04:17:38

40

Views

Question about direct factor and direct product.

Published on 08 Apr 2020 - 4:17

List Question

Does the following diagram (2) commute by the axioms for a direct limit?

Prove direct product of elements of subgroup is a subgroup of direct products of the group

Direct Product vs. Cartesian Product

Direct Product of a Clean Rings

The product of finitely many cyclic groups is cyclic iff the order of the groups are co-primes.

Generalization of direct product in group theory

Direct product is cancellative for finite groups.

Decomposing a group as a direct product of its kernel and image

Prove that the symmetric group $S_n$ has a subgroup isomorphic to $\mathbb{Z}_7 \times \mathbb{Z}_7$ iff $n \ge 14$.

A $p$-group action on a cartesian product.

Let $H_i$ be a subgroup of $G_i$ for $i=1,2,\dots,n.$ Prove that $H_1×\dots × H_n$ is a subgroup of $G_1 ×\dots × G_n.$

Relation between group product and quotient group product

The Theory of Finite Groups - An introdution - Hans Kurzweil, Bernd Stellmacher.

Homomorphisms from $\prod_{i\in\mathbb Z}\mathbb Z $ to $\oplus_{i\in\mathbb Z}\mathbb Z$ that fixes $\oplus_{i\in\mathbb Z}\mathbb Z$

Question about direct factor and direct product.

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