List questions from exceptional-isomorphisms

Published on 13 Nov 2013 - 9:00

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Prove that $PSL(2,9)\cong A_6.$

Published on 20 Nov 2013 - 2:45

202

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Abstract Algebra: Find a number of non-isomorphic subgroup of $S_3$

Published on 17 Feb 2014 - 17:18

123

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How can I prove that $(ℤ, ≺)$ is not isomorphic to $(ℕ, ≤)$

Published on 03 Mar 2014 - 5:55

58

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Are there infinite positive $n \in \Bbb N$ such that ($D^+_n$, |) is isomorphic to ($D^+_{4100}$, |)?

Published on 10 Mar 2014 - 4:58

112

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Why $\mathrm{SU}_2(\mathbb{C})/\lbrace \pm 1 \rbrace \cong \mathrm{SO}_3(\mathbb{R})$ is exceptionnal?

Published on 14 Apr 2017 - 14:51

85

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Tetrality and ${\frak so}(8)$'s three irreps

Published on 18 Apr 2017 - 3:44

323

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The duad-syntheme-total construction for higher values of $n$

Published on 03 Jun 2017 - 5:02

82

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Find if $Z[X]/<x^2-27> $ is isomorphic or not with $Z[\sqrt3]$

Published on 17 Jun 2017 - 18:50

1.1k

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Proof of isomorphism between $\text{PGL}_2(\mathbb{F}_5)$ and $S_5$

Published on 15 Aug 2017 - 0:02

460

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To complete the proof that $\operatorname{PSL}(2,\Bbb F_5)\cong A_5$

Published on 24 Sep 2017 - 7:16

4.1k

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Why $PSL_3(\mathbb F_2)\cong PSL_2(\mathbb F_7)$?

Published on 02 Aug 2010 - 14:19

7.5k

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Why is $SO(3)\times SO(3)$ isomorphic to $SO(4)$?

Published on 24 Mar 2026 - 0:12

1.8k

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Why is $PGL(2,4)$ isomorphic to $A_5$

Published on 24 Mar 2026 - 0:12

863

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Isomorphism between $\mathfrak o(4,\mathbb R)$ and $\mathfrak o (3,\mathbb R) \oplus\mathfrak o (3,\mathbb R) $

Published on 24 Mar 2026 - 8:38

List Question

Question regarding isomorphisms in low rank Lie algebras

Prove that $PSL(2,9)\cong A_6.$

Abstract Algebra: Find a number of non-isomorphic subgroup of $S_3$

How can I prove that $(ℤ, ≺)$ is not isomorphic to $(ℕ, ≤)$

Are there infinite positive $n \in \Bbb N$ such that ($D^+_n$, |) is isomorphic to ($D^+_{4100}$, |)?

Why $\mathrm{SU}_2(\mathbb{C})/\lbrace \pm 1 \rbrace \cong \mathrm{SO}_3(\mathbb{R})$ is exceptionnal?

Tetrality and ${\frak so}(8)$'s three irreps

The duad-syntheme-total construction for higher values of $n$

Find if $Z[X]/<x^2-27> $ is isomorphic or not with $Z[\sqrt3]$

Proof of isomorphism between $\text{PGL}_2(\mathbb{F}_5)$ and $S_5$

To complete the proof that $\operatorname{PSL}(2,\Bbb F_5)\cong A_5$

Why $PSL_3(\mathbb F_2)\cong PSL_2(\mathbb F_7)$?

Why is $SO(3)\times SO(3)$ isomorphic to $SO(4)$?

Why is $PGL(2,4)$ isomorphic to $A_5$

Isomorphism between $\mathfrak o(4,\mathbb R)$ and $\mathfrak o (3,\mathbb R) \oplus\mathfrak o (3,\mathbb R) $

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