Question

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

score 55 · Answer 1 · 2019-01-27 11:22:00

55

Views

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

Published on 27 Jan 2019 - 11:22

score 109 · Answer 2 · 2019-02-03 15:04:59

109

Views

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

Published on 03 Feb 2019 - 15:04

score 563 · Answer 3 · 2019-02-03 21:04:24

563

Views

Group of order $pqr$

Published on 03 Feb 2019 - 21:04

score 7.5k · Answer 4 · 2019-02-07 18:06:09

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 07 Feb 2019 - 18:06

score 534 · Answer 5 · 2026-03-25 07:41:55

534

Views

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

Published on 25 Mar 2026 - 7:41

score 521 · Answer 6 · 2026-03-25 12:28:24

521

Views

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

Published on 25 Mar 2026 - 12:28

score 71 · Answer 7 · 2019-02-20 12:18:09

71

Views

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

Published on 20 Feb 2019 - 12:18

score 116 · Answer 8 · 2026-03-25 12:20:41

116

Views

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

Published on 25 Mar 2026 - 12:20

score 117 · Answer 9 · 2019-02-25 02:33:30

117

Views

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

Published on 25 Feb 2019 - 2:33

score 155 · Answer 10 · 2026-03-25 12:20:36

155

Views

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

Published on 25 Mar 2026 - 12:20

score 62 · Answer 11 · 2026-03-25 09:33:15

62

Views

Split Sequences. What is the Group?

Published on 25 Mar 2026 - 9:33

score 31 · Answer 12 · 2019-02-27 20:18:31

31

Views

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

Published on 27 Feb 2019 - 20:18

score 1.6k · Answer 13 · 2019-02-28 21:13:36

1.6k

Views

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

Published on 28 Feb 2019 - 21:13

score 189 · Answer 14 · 2026-03-25 10:55:38

189

Views

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

Published on 25 Mar 2026 - 10:55

score 127 · Answer 15 · 2019-03-03 15:25:58

127

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 03 Mar 2019 - 15:25

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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