List questions from group-homomorphism

Published on 02 Jul 2015 - 13:32

3.1k

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Group of order $2m$ where $m$ odd has a subgroup of index 2.

Published on 03 Jul 2015 - 1:10

62

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From group isomorphisms to algebra isomorphisms

Published on 04 Jul 2015 - 15:32

248

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topological isomorphism between a group and product of its subgroups

Published on 23 Feb 2026 - 4:41

119

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There is no injective morphism from $\mathbb S_7$ to $\mathbb A_8$

Published on 09 Jul 2015 - 1:08

3.6k

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Injective homomorphisms and subgroups

Published on 10 Jul 2015 - 7:25

69

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Existence of a linear structure in a space of homomorphisms

Published on 23 Feb 2026 - 4:40

321

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Consequence of First Homomorphism Theorem?

Published on 11 Jul 2015 - 17:27

48

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$\varphi_n (z) = z^n$ find all subgroups between $\ker \varphi _3$ and $ \ker \varphi _{12}$

Published on 12 Jul 2015 - 10:25

10.9k

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Every normal subgroup is the kernel of some homomorphism

Published on 18 Jul 2015 - 23:14

38

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Homomorphic image if smaller fails to exist

Published on 21 Jul 2015 - 0:36

97

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Does $AN/N=A/N$?

Published on 21 Jul 2015 - 2:11

298

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Homomorphism with intersection of all Sylow p-subgroups as kernel?

Published on 30 Mar 2026 - 5:29

458

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Is there any neat way to show $\phi$ is a homomorphism?

Published on 04 Aug 2015 - 4:47

94

Views

Proof Check: Number of elements of $\mathbb{F}_{p^{n}}$ of the form $a^{p}-a$ for some $a \in \mathbb{F}_{p^{n}}$.

Published on 05 Aug 2015 - 0:58

List Question

What's a group whose group of automorphisms is non-abelian?

Group of order $2m$ where $m$ odd has a subgroup of index 2.

From group isomorphisms to algebra isomorphisms

topological isomorphism between a group and product of its subgroups

There is no injective morphism from $\mathbb S_7$ to $\mathbb A_8$

Injective homomorphisms and subgroups

Existence of a linear structure in a space of homomorphisms

Consequence of First Homomorphism Theorem?

$\varphi_n (z) = z^n$ find all subgroups between $\ker \varphi _3$ and $ \ker \varphi _{12}$

Every normal subgroup is the kernel of some homomorphism

Homomorphic image if smaller fails to exist

Does $AN/N=A/N$?

Homomorphism with intersection of all Sylow p-subgroups as kernel?

Is there any neat way to show $\phi$ is a homomorphism?

Proof Check: Number of elements of $\mathbb{F}_{p^{n}}$ of the form $a^{p}-a$ for some $a \in \mathbb{F}_{p^{n}}$.

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