List questions from abelian-groups

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Prove that there is no simple group of order $144$

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power of a product in non Abelian group

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Calculating number of abelian groups up to isomorphism

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The p-adic topology of an Abelian group A

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Let $a,b\in G$. If $a^{4}b=ba$ and $a^{3}=e$, then prove that $ab=ba$.

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Understanding Homomorphism counting

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What is the easiest way to find the number of isomorphic subgroup?

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Subgroups of $\mathbb{Z}/{4\mathbb{Z}} \times \mathbb{Z}/{2\mathbb{Z}}$

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Fraleigh Abstract algebra exercise 6.56 (b)

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Why are surface groups non-abelian?

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Subgroups of $\Bbb R^{\times}$

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List Question

Is there a surjective morphism $\widehat{\Bbb Z} \to \Bbb Z$?

Prove that there is no simple group of order $144$

Identify the quotient of $\mathbb Z^3$ by a certain subgroup

power of a product in non Abelian group

Calculating number of abelian groups up to isomorphism

How can one go about counting the amount of abelian groups of a fixed order?

The p-adic topology of an Abelian group A

Let $a,b\in G$. If $a^{4}b=ba$ and $a^{3}=e$, then prove that $ab=ba$.

Understanding Homomorphism counting

What is the easiest way to find the number of isomorphic subgroup?

Simple groups in group theory 2

Subgroups of $\mathbb{Z}/{4\mathbb{Z}} \times \mathbb{Z}/{2\mathbb{Z}}$

Fraleigh Abstract algebra exercise 6.56 (b)

Why are surface groups non-abelian?

Subgroups of $\Bbb R^{\times}$

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