Question

Minimum number of subgroup whose union is $ \mathbb z_4 \times \mathbb z_4$ .

score 58 · Answer 1 · 2026-04-15 07:00:37

58

Views

Minimum number of subgroup whose union is $ \mathbb z_4 \times \mathbb z_4$ .

Published on 15 Apr 2026 - 7:00

score 112 · Answer 2 · 2026-04-15 05:18:08

112

Views

Property of Sylow $2$-subgroups of $S_n$ and $S_{n+1}$

Published on 15 Apr 2026 - 5:18

score 567 · Answer 3 · 2026-04-30 10:53:54

567

Views

Group of order $pqr$

Published on 30 Apr 2026 - 10:53

score 7.5k · Answer 4 · 2026-04-14 17:53:47

7.5k

Views

What is the order of the subgroup $\langle 5\rangle \times \langle 3\rangle$ in $Z_{30} \times Z_{12} ?$

Published on 14 Apr 2026 - 17:53

score 537 · Answer 5 · 2026-05-10 17:12:41

537

Views

When is $A\rtimes_{\phi_1} B \cong A\rtimes_{\phi_2} B$?

Published on 10 May 2026 - 17:12

score 524 · Answer 6 · 2026-05-10 14:36:14

524

Views

Does there exist a group that is both a free product and a direct product of nontrivial groups?

Published on 10 May 2026 - 14:36

score 74 · Answer 7 · 2026-04-15 16:18:20

74

Views

About definition of category and theorem 8.2 in Hungerford's book

Published on 15 Apr 2026 - 16:18

score 119 · Answer 8 · 2026-05-10 17:16:09

119

Views

Does the specific condition on a normal subgroup of a finite group imply that it is a direct factor?

Published on 10 May 2026 - 17:16

score 120 · Answer 9 · 2026-04-09 19:30:23

120

Views

Property of elements in $\operatorname{Hom}_\mathbb Z(\prod_{i=1}^{\infty}\mathbb Z, \mathbb Z)$

Published on 09 Apr 2026 - 19:30

score 158 · Answer 10 · 2026-05-10 17:17:00

158

Views

Does the specific condition on a normal subgroup of a finite group imply that it is a direct factor? v2.0

Published on 10 May 2026 - 17:17

score 65 · Answer 11 · 2026-04-13 18:56:10

65

Views

Split Sequences. What is the Group?

Published on 13 Apr 2026 - 18:56

score 34 · Answer 12 · 2026-04-12 15:42:48

34

Views

Describing the behaviour of subgroups of the direct product of finite cyclic groups based on the gcd of their orders

Published on 12 Apr 2026 - 15:42

score 1.6k · Answer 13 · 2026-04-15 10:22:56

1.6k

Views

Is there such a thing as direct product of an infinite number of groups?

Published on 15 Apr 2026 - 10:22

score 191 · Answer 14 · 2026-04-12 13:12:51

191

Views

A question regarding groups of order $p^2qr$

Published on 12 Apr 2026 - 13:12

score 130 · Answer 15 · 2026-04-15 00:29:46

130

Views

Find a subgroup of $\Bbb Z_4\oplus\Bbb Z_2$ not of the form $H\oplus K$ for some $H\le \Bbb Z_4, K\le \Bbb Z_2$.

Published on 15 Apr 2026 - 0:29

List Question

Minimum number of subgroup whose union is $ \mathbb z_4 \times \mathbb z_4$ .

Property of Sylow $2$-subgroups of $S_n$ and $S_{n+1}$

Group of order $pqr$

What is the order of the subgroup $\langle 5\rangle \times \langle 3\rangle$ in $Z_{30} \times Z_{12} ?$

When is $A\rtimes_{\phi_1} B \cong A\rtimes_{\phi_2} B$?

Does there exist a group that is both a free product and a direct product of nontrivial groups?

About definition of category and theorem 8.2 in Hungerford's book

Does the specific condition on a normal subgroup of a finite group imply that it is a direct factor?

Property of elements in $\operatorname{Hom}_\mathbb Z(\prod_{i=1}^{\infty}\mathbb Z, \mathbb Z)$

Does the specific condition on a normal subgroup of a finite group imply that it is a direct factor? v2.0

Split Sequences. What is the Group?

Describing the behaviour of subgroups of the direct product of finite cyclic groups based on the gcd of their orders

Is there such a thing as direct product of an infinite number of groups?

A question regarding groups of order $p^2qr$

Find a subgroup of $\Bbb Z_4\oplus\Bbb Z_2$ not of the form $H\oplus K$ for some $H\le \Bbb Z_4, K\le \Bbb Z_2$.

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