List questions from group-isomorphism

Published on 03 Nov 2016 - 22:49

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automorphism $(Z/2Z)^n$

Published on 04 Nov 2016 - 13:42

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Is this an isomorphism possible?

Published on 26 Mar 2026 - 6:33

144

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Prove that it is not necessarily the case that $|Aut(G_{1} \times G_{2})| \leq |Aut(G_{1})|\times |Aut(G_{2})|$

Published on 26 Mar 2026 - 17:42

294

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Prove that $\langle 2 \rangle \cong \langle 3 \rangle$ (subgroups of $\mathbb{Q}_{>0}$)

Published on 08 Nov 2016 - 1:09

376

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Showing a field is isomorphic to another field

Published on 28 Mar 2026 - 22:08

857

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Quotient group of the intersection of normal subgroup

Published on 08 Nov 2016 - 20:51

35

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$SL_2(q)$ is isomorphic to $SU_2(q)$.

Published on 08 Nov 2016 - 23:09

77

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Isomorphism between $\frac{\mathbb C}{L}$ and $\frac{\mathbb R^2}{\mathbb Z^2}$

Published on 28 Mar 2026 - 10:35

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Let G be a non-Abelian group with 8 elements

Published on 10 Nov 2016 - 0:11

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Is the group of upper triangular matrices isomorphic to $\mathbb{R}^3$?

Published on 10 Nov 2016 - 12:18

39

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is a set isomorphic to the product space of it's partition?

Published on 26 Mar 2026 - 6:06

479

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Finding all groups $H$ (up to isomorphism) such that there is a surjective homomorphism from $D_8$ to $H$

Published on 29 Mar 2026 - 12:52

47

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Proving a specific group isomorphism

Published on 12 Nov 2016 - 22:21

43

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Show $f(e) = e$ and $f(a) = f(a)^{-1}$ if $f$ is operation preserving

Published on 14 Nov 2016 - 10:55

List Question

What are the elements of $D_{4}/\{e,r_{180}\}$?

automorphism $(Z/2Z)^n$

Is this an isomorphism possible?

Prove that it is not necessarily the case that $|Aut(G_{1} \times G_{2})| \leq |Aut(G_{1})|\times |Aut(G_{2})|$

Prove that $\langle 2 \rangle \cong \langle 3 \rangle$ (subgroups of $\mathbb{Q}_{>0}$)

Showing a field is isomorphic to another field

Quotient group of the intersection of normal subgroup

$SL_2(q)$ is isomorphic to $SU_2(q)$.

Isomorphism between $\frac{\mathbb C}{L}$ and $\frac{\mathbb R^2}{\mathbb Z^2}$

Let G be a non-Abelian group with 8 elements

Is the group of upper triangular matrices isomorphic to $\mathbb{R}^3$?

is a set isomorphic to the product space of it's partition?

Finding all groups $H$ (up to isomorphism) such that there is a surjective homomorphism from $D_8$ to $H$

Proving a specific group isomorphism

Show $f(e) = e$ and $f(a) = f(a)^{-1}$ if $f$ is operation preserving

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