Question

$S_7$ is isomorphic to subgroup of all those elements of of $S_8$ that sends $8$ to $8$

score 410 · Answer 1 · 2026-03-28 04:35:42

410

Views

$S_7$ is isomorphic to subgroup of all those elements of of $S_8$ that sends $8$ to $8$

Published on 28 Mar 2026 - 4:35

score 82 · Answer 2 · 2020-02-13 14:56:53

82

Views

What does $H_*(X,A) = 0$ intuitively mean?

Published on 13 Feb 2020 - 14:56

score 144 · Answer 3 · 2026-03-25 09:26:57

144

Views

Is $\langle a, b \mid baba^{-1}\rangle$ truly isomorphic to $\langle a, c \mid a^2c^2\rangle$?

Published on 25 Mar 2026 - 9:26

score 108 · Answer 4 · 2020-02-19 14:24:10

108

Views

How to find if groups are isomorphic?

Published on 19 Feb 2020 - 14:24

score 123 · Answer 5 · 2020-02-21 20:04:47

123

Views

Show that $(\mathbb{Z}_{n} \times \mathbb{Z}_{n} , +)$ is not isomorphic to $ (\mathbb{Z}_{n^{2}} , +)$

Published on 21 Feb 2020 - 20:04

score 307 · Answer 6 · 2020-02-24 03:39:57

307

Views

How to show that the mapping $\varphi : GL(2,\mathbb{R})\rightarrow GL(2,\mathbb{R})$ is isomorphic

Published on 24 Feb 2020 - 3:39

score 42 · Answer 7 · 2020-02-24 15:10:36

42

Views

What does this group look like? And how can I calculate cosets of this group?

Published on 24 Feb 2020 - 15:10

score 61 · Answer 8 · 2020-02-25 20:27:40

61

Views

Partial isomorphisms between fields

Published on 25 Feb 2020 - 20:27

score 49 · Answer 9 · 2020-02-29 21:12:52

49

Views

Isomorphism between $\mathbb Z$ and $(0,\infty)\cap\mathbb Q$

Published on 29 Feb 2020 - 21:12

score 49 · Answer 10 · 2026-03-29 10:19:24

49

Views

Fix an element $h\in G$. Define $\varphi_h:G\to G$ by $\varphi_h(g)=hg$. Is that an isomorphism from $G$ to itself?

Published on 29 Mar 2026 - 10:19

score 142 · Answer 11 · 2026-03-28 06:11:46

142

Views

surjective homomorphism between free abelian groups and first isomorphism theorem

Published on 28 Mar 2026 - 6:11

score 1.3k · Answer 12 · 2020-03-03 18:30:22

1.3k

Views

Can Cayley's Theorem be applied to groups with infinite order?

Published on 03 Mar 2020 - 18:30

score 45 · Answer 13 · 2026-03-30 15:14:12

45

Views

Finding a subgroup $H$ of $\mathbb{Z_{p^2}}\oplus\mathbb{Z_{p^2}}$ with given condition.

Published on 30 Mar 2026 - 15:14

score 162 · Answer 14 · 2026-03-27 19:30:27

162

Views

How to distinguish two "almost isomorphic" groups

Published on 27 Mar 2026 - 19:30

score 35 · Answer 15 · 2026-03-30 00:22:51

$(\mathbb{F}_p^\times)^2$ subgroup of $\mathbb{F}_p^\times$ and $(\mathbb{F}_p^\times)/(\mathbb{F}_p^\times)^2 \cong \mathbb{Z}/ 2\mathbb{Z}$

List Question

$S_7$ is isomorphic to subgroup of all those elements of of $S_8$ that sends $8$ to $8$

What does $H_*(X,A) = 0$ intuitively mean?

Is $\langle a, b \mid baba^{-1}\rangle$ truly isomorphic to $\langle a, c \mid a^2c^2\rangle$?

How to find if groups are isomorphic?

Show that $(\mathbb{Z}_{n} \times \mathbb{Z}_{n} , +)$ is not isomorphic to $ (\mathbb{Z}_{n^{2}} , +)$

How to show that the mapping $\varphi : GL(2,\mathbb{R})\rightarrow GL(2,\mathbb{R})$ is isomorphic

What does this group look like? And how can I calculate cosets of this group?

Partial isomorphisms between fields

Isomorphism between $\mathbb Z$ and $(0,\infty)\cap\mathbb Q$

Fix an element $h\in G$. Define $\varphi_h:G\to G$ by $\varphi_h(g)=hg$. Is that an isomorphism from $G$ to itself?

surjective homomorphism between free abelian groups and first isomorphism theorem

Can Cayley's Theorem be applied to groups with infinite order?

Finding a subgroup $H$ of $\mathbb{Z_{p^2}}\oplus\mathbb{Z_{p^2}}$ with given condition.

How to distinguish two "almost isomorphic" groups

$(\mathbb{F}_p^\times)^2$ subgroup of $\mathbb{F}_p^\times$ and $(\mathbb{F}_p^\times)/(\mathbb{F}_p^\times)^2 \cong \mathbb{Z}/ 2\mathbb{Z}$

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