List questions from abelian-groups

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direct limit of abelian groups

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Find the number of abelian groups of order $p^n$, up to isomorphism when $n=2,3$, and $5$.

Published on 28 Apr 2014 - 8:42

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The Basis Theorem for Finite Abelian Groups

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Uniqueness FTOFAG

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Why is $U(12) = U_{4} (12) ~ U_3(12)?$

Published on 29 Apr 2014 - 9:57

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Let $H$ be a normal subgroup of $G$. If $H$ are $G/H$ are Abelian, should $G$ be abelian?

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$\psi (m)\leq \phi (m)$ or $\psi (m) \geq \phi (m)$ when $\psi (m)\neq 0$?

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$\langle x \rangle$ is a direct summand of a finite abelian group where $x$ is maximal order

Published on 30 Apr 2014 - 19:00

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Rank of $(G/H)/(G/H)_t$ where $G$ is finitely generated abelian and $H$ is a subgroup.

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820

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Subgroups which are not subspaces

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Classify abelian groups $A$ which are irreducible $End(A)$-modules

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Abelian group generators and relations

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Subgroups of order $p^2$ present in a abelian group

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A non-abelian group such that $G/Z(G)$ is abelian.

Published on 04 May 2014 - 12:39

List Question

Subgroups of a finite elementary abelian group.

direct limit of abelian groups

Find the number of abelian groups of order $p^n$, up to isomorphism when $n=2,3$, and $5$.

The Basis Theorem for Finite Abelian Groups

Uniqueness FTOFAG

Why is $U(12) = U_{4} (12) ~ U_3(12)?$

Let $H$ be a normal subgroup of $G$. If $H$ are $G/H$ are Abelian, should $G$ be abelian?

$\psi (m)\leq \phi (m)$ or $\psi (m) \geq \phi (m)$ when $\psi (m)\neq 0$?

$\langle x \rangle$ is a direct summand of a finite abelian group where $x$ is maximal order

Rank of $(G/H)/(G/H)_t$ where $G$ is finitely generated abelian and $H$ is a subgroup.

Subgroups which are not subspaces

Classify abelian groups $A$ which are irreducible $End(A)$-modules

Abelian group generators and relations

Subgroups of order $p^2$ present in a abelian group

A non-abelian group such that $G/Z(G)$ is abelian.

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