Question

No automorphisms of order $p^2$

score 105 · Answer 1 · 2026-03-25 09:48:48

105

Views

No automorphisms of order $p^2$

Published on 25 Mar 2026 - 9:48

score 101 · Answer 2 · 2026-03-25 16:01:27

101

Views

The direct sum of modules is generated by their union

Published on 25 Mar 2026 - 16:01

score 256 · Answer 3 · 2026-03-26 12:38:28

256

Views

Suppose $G$ and $H$ are two countably infinite abelian groups s.t. every nontrivial element of $G\times H$ has order $7$. Then $G\cong H$.

Published on 26 Mar 2026 - 12:38

score 75 · Answer 4 · 2023-04-12 10:42:10

75

Views

Show that if $K\triangleleft A\times B$ is non-abelian, then at least one of $K\cap A,K\cap B$ is non-trivial.

Published on 12 Apr 2023 - 10:42

score 35 · Answer 5 · 2023-04-23 14:28:06

35

Views

Is the direct sum of Hilbert spaces a 'topological subspace' of the direct product equipped with the product topology?

Published on 23 Apr 2023 - 14:28

score 74 · Answer 6 · 2023-04-24 01:27:08

74

Views

Clarification needed for notation used in Robinson Abstract algebra text's on External direct product of infinitely many groups.

Published on 24 Apr 2023 - 1:27

score 61 · Answer 7 · 2023-04-24 07:45:18

61

Views

Whether two groups in the form of infinite product are isomorphic

Published on 24 Apr 2023 - 7:45

score 80 · Answer 8 · 2026-03-26 19:01:02

80

Views

Maximal quotient group of direct product

Published on 26 Mar 2026 - 19:01

score 150 · Answer 9 · 2023-06-04 17:17:43

150

Views

Existence of a canonical bijection between $G/H \times H/K$ and $G/K$

Published on 04 Jun 2023 - 17:17

score 133 · Answer 10 · 2023-06-12 09:33:58

133

Views

A problem on finite abelian group

Published on 12 Jun 2023 - 9:33

score 47 · Answer 11 · 2023-07-08 16:33:58

47

Views

Generating set cardinality of subgroups of direct products

Published on 08 Jul 2023 - 16:33

score 102 · Answer 12 · 2023-07-15 12:45:41

102

Views

Writing a quotient group as a product of cyclic groups

Published on 15 Jul 2023 - 12:45

score 63 · Answer 13 · 2026-03-25 17:44:33

63

Views

How to show direct sum of free product of groups is not isomorphic to free product of direct sum of groups?

Published on 25 Mar 2026 - 17:44

score 401 · Answer 14 · 2023-08-10 21:32:56

401

Views

Express U(165) as an internal direct product of subgroups in four different ways.

Published on 10 Aug 2023 - 21:32

score 211 · Answer 15 · 2023-08-12 01:02:16

211

Views

Zappa–Szép product vs. direct product

Published on 12 Aug 2023 - 1:02

List Question

No automorphisms of order $p^2$

The direct sum of modules is generated by their union

Suppose $G$ and $H$ are two countably infinite abelian groups s.t. every nontrivial element of $G\times H$ has order $7$. Then $G\cong H$.

Show that if $K\triangleleft A\times B$ is non-abelian, then at least one of $K\cap A,K\cap B$ is non-trivial.

Is the direct sum of Hilbert spaces a 'topological subspace' of the direct product equipped with the product topology?

Clarification needed for notation used in Robinson Abstract algebra text's on External direct product of infinitely many groups.

Whether two groups in the form of infinite product are isomorphic

Maximal quotient group of direct product

Existence of a canonical bijection between $G/H \times H/K$ and $G/K$

A problem on finite abelian group

Generating set cardinality of subgroups of direct products

Writing a quotient group as a product of cyclic groups

How to show direct sum of free product of groups is not isomorphic to free product of direct sum of groups?

Express U(165) as an internal direct product of subgroups in four different ways.

Zappa–Szép product vs. direct product

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