Question

Automorphism group of $\mathbb{Q}$ considered as a group under addition

score 1.8k · Answer 1 · 2016-02-22 22:13:58

1.8k

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Automorphism group of $\mathbb{Q}$ considered as a group under addition

Published on 22 Feb 2016 - 22:13

score 84 · Answer 2 · 2016-02-24 13:11:53

84

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How to choose set in Group Isomorphism Algorithm( Quasipolynomial time)

Published on 24 Feb 2016 - 13:11

score 116 · Answer 3 · 2016-02-24 16:15:11

116

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Which is the difference between the two notations?

Published on 24 Feb 2016 - 16:15

score 1.9k · Answer 4 · 2016-02-24 22:23:36

1.9k

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Are the additive group of rationals and the multiplicative group of positive rationals isomorphic?

Published on 24 Feb 2016 - 22:23

score 76 · Answer 5 · 2016-02-25 16:25:04

76

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Is $\Bbb Z/30\Bbb Z $ isomorphic to $\Bbb Z/2\Bbb Z \oplus \Bbb Z/3\Bbb Z \oplus \Bbb Z/5\Bbb Z $?

Published on 25 Feb 2016 - 16:25

score 269 · Answer 6 · 2016-03-01 01:14:17

269

Views

Let $\phi:\mathbb{Z}/12\mathbb{Z}\to\mathbb{Z}/3\mathbb{Z}$ be the homomorphism such that $\phi(1)=2$.

Published on 01 Mar 2016 - 1:14

score 453 · Answer 7 · 2016-03-01 22:04:00

453

Views

A field Isomorphism $f:\mathbb{C} \rightarrow \mathbb{C}$

Published on 01 Mar 2016 - 22:04

score 223 · Answer 8 · 2016-03-07 18:03:19

223

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Define group structure on $\mathbb{R \setminus Q}$

Published on 07 Mar 2016 - 18:03

score 1.8k · Answer 9 · 2016-03-07 19:40:48

1.8k

Views

Prove that $(\mathbb{Z},+)$ and $(\mathbb{Q},+)$ are not isomorphic.

Published on 07 Mar 2016 - 19:40

score 676 · Answer 10 · 2026-03-25 14:39:55

676

Views

Algorithm for isomorphic groups?

Published on 25 Mar 2026 - 14:39

score 1.1k · Answer 11 · 2026-04-02 13:12:19

1.1k

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Why are cyclic groups of order $p$ (prime) unique up to isomorphism?

Published on 02 Apr 2026 - 13:12

score 91 · Answer 12 · 2016-03-10 19:03:12

91

Views

The number of isomorphism classes for the symmetry group of 6 elements?

Published on 10 Mar 2016 - 19:03

score 670 · Answer 13 · 2016-03-12 14:59:56

670

Views

Isomorphism between Frac($\mathbb Z[x]$) and Frac($\mathbb Q[x]$)

Published on 12 Mar 2016 - 14:59

score 38 · Answer 14 · 2016-03-12 18:17:56

G=S_3 (symmetry group), H=\langle(123) \rangle , K=$\langle$(12)$\rangle$. Why G is said not isomorphic to external direct product of H and K?

score 132 · Answer 15 · 2016-03-16 00:59:09

132

Views

Show $\phi$ is a isomorphism as a lie algebra homomorphism

Published on 16 Mar 2016 - 0:59

List Question

Automorphism group of $\mathbb{Q}$ considered as a group under addition

How to choose set in Group Isomorphism Algorithm( Quasipolynomial time)

Which is the difference between the two notations?

Are the additive group of rationals and the multiplicative group of positive rationals isomorphic?

Is $\Bbb Z/30\Bbb Z $ isomorphic to $\Bbb Z/2\Bbb Z \oplus \Bbb Z/3\Bbb Z \oplus \Bbb Z/5\Bbb Z $?

Let $\phi:\mathbb{Z}/12\mathbb{Z}\to\mathbb{Z}/3\mathbb{Z}$ be the homomorphism such that $\phi(1)=2$.

A field Isomorphism $f:\mathbb{C} \rightarrow \mathbb{C}$

Define group structure on $\mathbb{R \setminus Q}$

Prove that $(\mathbb{Z},+)$ and $(\mathbb{Q},+)$ are not isomorphic.

Algorithm for isomorphic groups?

Why are cyclic groups of order $p$ (prime) unique up to isomorphism?

The number of isomorphism classes for the symmetry group of 6 elements?

Isomorphism between Frac($\mathbb Z[x]$) and Frac($\mathbb Q[x]$)

G=S_3 (symmetry group), H=\langle(123) \rangle , K=$\langle$(12)$\rangle$. Why G is said not isomorphic to external direct product of H and K?

Show $\phi$ is a isomorphism as a lie algebra homomorphism

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