Question

Is there a surjective homomorphism from $(\Bbb{Q},+)$ to $(\Bbb{Z},+)$?

score 439 · Answer 1 · 2021-09-04 16:04:17

439

Views

Is there a surjective homomorphism from $(\Bbb{Q},+)$ to $(\Bbb{Z},+)$?

Published on 04 Sep 2021 - 16:04

score 385 · Answer 2 · 2021-09-05 09:37:30

385

Views

Just infinite group

Published on 05 Sep 2021 - 9:37

score 162 · Answer 3 · 2026-03-26 01:26:38

162

Views

Involution elements in infinite groups

Published on 26 Mar 2026 - 1:26

score 93 · Answer 4 · 2021-09-15 04:22:05

93

Views

Why is $\bigoplus_{i \in \mathbb{N}} \mathbb{Z}_4$ not isomorphic to $\mathbb{Z}_2 \times \bigoplus_{i \in \mathbb{N}} \mathbb{Z}_4$

Published on 15 Sep 2021 - 4:22

score 187 · Answer 5 · 2021-09-30 17:38:57

187

Views

Prove that if a subgroup $H$ generated by $x$ is of infinity order, then $H=\langle x^a\rangle$ iff $a = ±1$

Published on 30 Sep 2021 - 17:38

score 156 · Answer 6 · 2021-10-19 07:40:35

156

Views

Group generated by matrices with integers off the diagonal

Published on 19 Oct 2021 - 7:40

score 888 · Answer 7 · 2021-11-20 11:40:35

888

Views

Abelian group $G$ such that the infinite-order elements form a subgroup with the identity.

Published on 20 Nov 2021 - 11:40

score 107 · Answer 8 · 2021-11-23 22:46:21

107

Views

Prove that every proper subgroup of the group of all $2^n$-th roots of unity is finite.

Published on 23 Nov 2021 - 22:46

score 75 · Answer 9 · 2026-03-26 12:53:02

75

Views

Existence of deep enough open subgroups in profinite groups

Published on 26 Mar 2026 - 12:53

score 326 · Answer 10 · 2021-11-25 14:51:21

326

Views

Infinite abelian group whose all nontrivial subroups have finite index

Published on 25 Nov 2021 - 14:51

score 75 · Answer 11 · 2021-11-27 21:24:16

75

Views

Group G Preserving a Flag is Solvable

Published on 27 Nov 2021 - 21:24

score 383 · Answer 12 · 2021-12-05 20:08:28

383

Views

Is a subgroup determined by where the generators are in its cosets?

Published on 05 Dec 2021 - 20:08

score 392 · Answer 13 · 2021-12-07 13:26:20

392

Views

Isomorphisms for Infinite Direct Products of Groups

Published on 07 Dec 2021 - 13:26

score 41 · Answer 14 · 2021-12-09 16:11:47

41

Views

Every infinite G has a S.T $o(a)=\infty?$

Published on 09 Dec 2021 - 16:11

score 38 · Answer 15 · 2021-12-13 11:31:29

38

Views

For any finite group $H$, there's a composition series for $A_{\infty}\times H$

Published on 13 Dec 2021 - 11:31

List Question

Is there a surjective homomorphism from $(\Bbb{Q},+)$ to $(\Bbb{Z},+)$?

Just infinite group

Involution elements in infinite groups

Why is $\bigoplus_{i \in \mathbb{N}} \mathbb{Z}_4$ not isomorphic to $\mathbb{Z}_2 \times \bigoplus_{i \in \mathbb{N}} \mathbb{Z}_4$

Prove that if a subgroup $H$ generated by $x$ is of infinity order, then $H=\langle x^a\rangle$ iff $a = ±1$

Group generated by matrices with integers off the diagonal

Abelian group $G$ such that the infinite-order elements form a subgroup with the identity.

Prove that every proper subgroup of the group of all $2^n$-th roots of unity is finite.

Existence of deep enough open subgroups in profinite groups

Infinite abelian group whose all nontrivial subroups have finite index

Group G Preserving a Flag is Solvable

Is a subgroup determined by where the generators are in its cosets?

Isomorphisms for Infinite Direct Products of Groups

Every infinite G has a S.T $o(a)=\infty?$

For any finite group $H$, there's a composition series for $A_{\infty}\times H$

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