Question

$H \subseteq K$ be subgroups of an infinite abelian group $G$ such that $G/H \cong G/K$ , then are $H,K$ equal or atleast isomorphic?

score 162 · Answer 1 · 2016-07-19 13:19:56

162

Views

$H \subseteq K$ be subgroups of an infinite abelian group $G$ such that $G/H \cong G/K$ , then are $H,K$ equal or atleast isomorphic?

Published on 19 Jul 2016 - 13:19

score 574 · Answer 2 · 2016-08-02 10:42:42

574

Views

Infinite Sets and Natural Numbers

Published on 02 Aug 2016 - 10:42

score 389 · Answer 3 · 2016-08-16 15:15:06

389

Views

Is $(\mathbb Q^+, . )$ isomorphic with a subgroup of $(\mathbb R,+)$ ?

Published on 16 Aug 2016 - 15:15

score 77 · Answer 4 · 2016-08-17 10:09:28

77

Views

Automorphism group of $(\Bbb Z\times\Bbb Z) \rtimes \Bbb Z$

Published on 17 Aug 2016 - 10:09

score 1.2k · Answer 5 · 2016-08-19 15:15:06

1.2k

Views

Does there exist any surjective group homomorphism from $(\mathbb R^* , .)$ onto $(\mathbb Q^* , .)$?

Published on 19 Aug 2016 - 15:15

score 700 · Answer 6 · 2016-08-19 18:03:49

700

Views

Trying to prove that $H=\langle a,b:a^{3}=b^{3}=(ab)^{3}=1\rangle$ is a group of infinite order.

Published on 19 Aug 2016 - 18:03

score 52 · Answer 7 · 2016-08-25 08:24:32

52

Views

Subgroup generated by shifted set

Published on 25 Aug 2016 - 8:24

score 43 · Answer 8 · 2016-08-26 07:18:15

43

Views

The equality $G=A^{-1}A\cup A\cup A^{-1}$

Published on 26 Aug 2016 - 7:18

score 162 · Answer 9 · 2016-08-26 10:30:53

162

Views

Find an example infinite group

Published on 26 Aug 2016 - 10:30

score 103 · Answer 10 · 2016-08-29 04:13:57

103

Views

$H,K$ be subgroups of an infinite abelian group $G$ such that $K \subseteq H$ and $G \cong K$ , then is it true that $G\cong H$ ?

Published on 29 Aug 2016 - 4:13

score 237 · Answer 11 · 2016-09-02 12:16:08

237

Views

$H$ is a normal subgroup (containing an element of infinite order) of the permutation group over positive integers , then is $H$ the whole group?

Published on 02 Sep 2016 - 12:16

score 366 · Answer 12 · 2016-09-07 09:30:35

366

Views

Let $H$ be the set of all $f\in \mathcal{S}(A)$ such that $f(x)=x$ for all but a finite number of elements $x$ of $A$. Prove $H\leq\mathcal{S}(A)$.

Published on 07 Sep 2016 - 9:30

score 197 · Answer 13 · 2016-09-13 14:13:00

197

Views

How to show $\langle x,y \mid x^3=y^3=(xy)^3=1\rangle$ is presentation of an infinite group?

Published on 13 Sep 2016 - 14:13

score 724 · Answer 14 · 2016-09-21 18:19:01

724

Views

Subgroup of the infinite dihedral group D_inf that is isomorphic to D_inf

Published on 21 Sep 2016 - 18:19

score 40 · Answer 15 · 2016-09-25 07:25:14

40

Views

Is the torsion set of the group of permutations on $\mathbb N$ closed under composition?

Published on 25 Sep 2016 - 7:25

List Question

$H \subseteq K$ be subgroups of an infinite abelian group $G$ such that $G/H \cong G/K$ , then are $H,K$ equal or atleast isomorphic?

Infinite Sets and Natural Numbers

Is $(\mathbb Q^+, . )$ isomorphic with a subgroup of $(\mathbb R,+)$ ?

Automorphism group of $(\Bbb Z\times\Bbb Z) \rtimes \Bbb Z$

Does there exist any surjective group homomorphism from $(\mathbb R^* , .)$ onto $(\mathbb Q^* , .)$?

Trying to prove that $H=\langle a,b:a^{3}=b^{3}=(ab)^{3}=1\rangle$ is a group of infinite order.

Subgroup generated by shifted set

The equality $G=A^{-1}A\cup A\cup A^{-1}$

Find an example infinite group

$H,K$ be subgroups of an infinite abelian group $G$ such that $K \subseteq H$ and $G \cong K$ , then is it true that $G\cong H$ ?

$H$ is a normal subgroup (containing an element of infinite order) of the permutation group over positive integers , then is $H$ the whole group?

Let $H$ be the set of all $f\in \mathcal{S}(A)$ such that $f(x)=x$ for all but a finite number of elements $x$ of $A$. Prove $H\leq\mathcal{S}(A)$.

How to show $\langle x,y \mid x^3=y^3=(xy)^3=1\rangle$ is presentation of an infinite group?

Subgroup of the infinite dihedral group D_inf that is isomorphic to D_inf

Is the torsion set of the group of permutations on $\mathbb N$ closed under composition?

Trending Questions

Popular # Hahtags

Popular Questions