Question

Homomorphism between cyclic groups of order 4 and 2

score 218 · Answer 1 · 2026-04-04 01:57:33

218

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Homomorphism between cyclic groups of order 4 and 2

Published on 04 Apr 2026 - 1:57

score 289 · Answer 2 · 2021-05-05 01:07:44

289

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Artin 4.5: Prove every subgroup of a cyclic group is cyclic, by working with exponents, and use the description of the subgroups of $\Bbb Z^+$.

Published on 05 May 2021 - 1:07

score 49 · Answer 3 · 2021-05-05 08:31:14

49

Views

Show that $|H \cap A_4|=|H\cap (12)A_4|$

Published on 05 May 2021 - 8:31

score 327 · Answer 4 · 2021-05-10 11:46:03

327

Views

Proving that a group $G$ which has no proper subgroups must be cyclic.

Published on 10 May 2021 - 11:46

score 138 · Answer 5 · 2021-05-10 18:50:20

138

Views

Number of subgroups of $C_2^n$ of index $2$

Published on 10 May 2021 - 18:50

score 72 · Answer 6 · 2021-05-11 05:44:24

72

Views

Problem in first claim of proof of theorem Every subgroup of cyclic group is cyclic.

Published on 11 May 2021 - 5:44

score 222 · Answer 7 · 2021-05-11 16:07:07

222

Views

Let G be a finite, Abelian group. If G is not cyclic, then there exist a subgroup of G isomorphic to C x C. Proposition 4.3.6 Serge Lang

Published on 11 May 2021 - 16:07

score 91 · Answer 8 · 2021-05-11 21:35:53

91

Views

Group of order 35 must have a normal subgroup of order 5 or 7 or both without using Sylow’s theorems

Published on 11 May 2021 - 21:35

score 143 · Answer 9 · 2026-04-04 17:08:07

143

Views

Division and group theory

Published on 04 Apr 2026 - 17:08

score 897 · Answer 10 · 2021-05-14 10:33:45

897

Views

Let $|G| = 20$ and $G$ has only two elements of order $4$. Then $G$ is cyclic

Published on 14 May 2021 - 10:33

score 40 · Answer 11 · 2026-04-04 06:09:54

40

Views

Does a topological isomorphism between monothetic groups preserve the generator?

Published on 04 Apr 2026 - 6:09

score 71 · Answer 12 · 2026-03-30 10:39:23

71

Views

How to find cyclic subgroups of $S_4$ with certain numbers of elements

Published on 30 Mar 2026 - 10:39

score 61 · Answer 13 · 2026-04-02 17:03:51

61

Views

When is $\{e\}=\langle a\rangle \cap \langle b,c\rangle$

Published on 02 Apr 2026 - 17:03

score 115 · Answer 14 · 2021-05-30 11:29:06

115

Views

Group of order $35$ is cyclic

Published on 30 May 2021 - 11:29

score 302 · Answer 15 · 2021-06-03 22:19:53

302

Views

Proving that the group $U(30)$ is isomorphic to the group $\Bbb Z_8$.

Published on 03 Jun 2021 - 22:19

List Question

Homomorphism between cyclic groups of order 4 and 2

Artin 4.5: Prove every subgroup of a cyclic group is cyclic, by working with exponents, and use the description of the subgroups of $\Bbb Z^+$.

Show that $|H \cap A_4|=|H\cap (12)A_4|$

Proving that a group $G$ which has no proper subgroups must be cyclic.

Number of subgroups of $C_2^n$ of index $2$

Problem in first claim of proof of theorem Every subgroup of cyclic group is cyclic.

Let G be a finite, Abelian group. If G is not cyclic, then there exist a subgroup of G isomorphic to C x C. Proposition 4.3.6 Serge Lang

Group of order 35 must have a normal subgroup of order 5 or 7 or both without using Sylow’s theorems

Division and group theory

Let $|G| = 20$ and $G$ has only two elements of order $4$. Then $G$ is cyclic

Does a topological isomorphism between monothetic groups preserve the generator?

How to find cyclic subgroups of $S_4$ with certain numbers of elements

When is $\{e\}=\langle a\rangle \cap \langle b,c\rangle$

Group of order $35$ is cyclic

Proving that the group $U(30)$ is isomorphic to the group $\Bbb Z_8$.

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