Question

Find all homomorphism $\Phi : \mathbb{Z} \oplus \mathbb{Z} \rightarrow \mathbb{Z}$

score 301 · Answer 1 · 2026-03-28 02:48:59

301

Views

Find all homomorphism $\Phi : \mathbb{Z} \oplus \mathbb{Z} \rightarrow \mathbb{Z}$

Published on 28 Mar 2026 - 2:48

score 86 · Answer 2 · 2026-03-27 13:03:29

86

Views

What is the mathematical term for the frequency as stops per cycle (similar to roots of unity)?

Published on 27 Mar 2026 - 13:03

score 139 · Answer 3 · 2026-03-25 22:04:09

139

Views

Give an example of a noncyclic infinite Abelian group all of whose proper subgroups are cyclic.

Published on 25 Mar 2026 - 22:04

score 72 · Answer 4 · 2020-01-08 01:42:25

72

Views

Is my proof for a statement regarding group correct?

Published on 08 Jan 2020 - 1:42

score 211 · Answer 5 · 2020-01-08 07:00:19

211

Views

Is $\mathbb{Z}/4\mathbb{Z}$ a semisimple $\mathbb{Z}$-module?

Published on 08 Jan 2020 - 7:00

score 59 · Answer 6 · 2020-01-08 17:03:44

59

Views

Proof of a subgroup $G \subset 〈\mathbb{Z}; +〉$

Published on 08 Jan 2020 - 17:03

score 129 · Answer 7 · 2020-01-10 14:51:55

129

Views

Showing a subgroup of $\mathbb{Z}\times\mathbb{Z}$ is cyclic.

Published on 10 Jan 2020 - 14:51

score 98 · Answer 8 · 2020-01-13 17:27:34

98

Views

properties of the Galois field and cyclic group

Published on 13 Jan 2020 - 17:27

score 164 · Answer 9 · 2026-03-25 20:20:29

164

Views

$G$ abelian $\{ a^ib^j : a^m = b^n = 1, a^2=b^3 \}$, prove that $G=\langle c:c^k=1 \rangle$

Published on 25 Mar 2026 - 20:20

score 59 · Answer 10 · 2020-01-22 12:02:11

59

Views

Question about an isomorphism of cyclic groups

Published on 22 Jan 2020 - 12:02

score 89 · Answer 11 · 2026-03-27 07:47:31

89

Views

Finding unique cyclic subgroup generators.

Published on 27 Mar 2026 - 7:47

score 89 · Answer 12 · 2020-01-28 05:38:57

89

Views

Cyclic property of an elliptic group

Published on 28 Jan 2020 - 5:38

score 22 · Answer 13 · 2026-02-23 04:20:35

22

Views

Decompose ${\mathbb{Z}_n}^{} / ({\mathbb{Z}_n}^{})^2$ into a direct sum of cyclic groups.

Published on 23 Feb 2026 - 4:20

score 152 · Answer 14 · 2026-03-25 18:55:02

152

Views

Finite stabiliser subgroup of Möbius transformations for a single point is cylic?

Published on 25 Mar 2026 - 18:55

score 488 · Answer 15 · 2020-02-02 06:39:57

488

Views

If $G$ is an abelian group, let $H_p$ be the set of all $x \in G$ whose order is a power of $p$

Published on 02 Feb 2020 - 6:39

List Question

Find all homomorphism $\Phi : \mathbb{Z} \oplus \mathbb{Z} \rightarrow \mathbb{Z}$

What is the mathematical term for the frequency as stops per cycle (similar to roots of unity)?

Give an example of a noncyclic infinite Abelian group all of whose proper subgroups are cyclic.

Is my proof for a statement regarding group correct?

Is $\mathbb{Z}/4\mathbb{Z}$ a semisimple $\mathbb{Z}$-module?

Proof of a subgroup $G \subset 〈\mathbb{Z}; +〉$

Showing a subgroup of $\mathbb{Z}\times\mathbb{Z}$ is cyclic.

properties of the Galois field and cyclic group

$G$ abelian $\{ a^ib^j : a^m = b^n = 1, a^2=b^3 \}$, prove that $G=\langle c:c^k=1 \rangle$

Question about an isomorphism of cyclic groups

Finding unique cyclic subgroup generators.

Cyclic property of an elliptic group

Decompose ${\mathbb{Z}_n}^{} / ({\mathbb{Z}_n}^{})^2$ into a direct sum of cyclic groups.

Finite stabiliser subgroup of Möbius transformations for a single point is cylic?

If $G$ is an abelian group, let $H_p$ be the set of all $x \in G$ whose order is a power of $p$

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