Newbetuts

If $H$ is a subgroup of a finite abelian group $G$, then $G$ has a subgroup that is isomorphic to $G/H$.

Quotient of the direct product of cyclic groups

Finding $n$ elements of $\mathbb{Z}_n\times\mathbb{Z}_n$ such that their differences are all different

Concerning Groups having the property that intersection of any two non-trivial subgroups is non-trivial

Why is the direct product of a finite number of nilpotent groups nilpotent?

External direct product of a family of group homomorphisms

Discovering and describing the homomorphisms returned by the sagemath function direct_product()

Direct sum and direct product of infinitely many abelian groups are not isomorphic

Isomorphisms for Infinite Direct Products of Groups

Let $G$ be a group and let $H_1,H_2\unlhd G$ such that $H_1\cap H_2 = \{1\}$ and $H_1H_2=G.$ Prove $G\simeq H_1\times H_2$ [duplicate]

Addition and Tensor product of Vector spaces for beginners : Concrete example

Direct sums and direct products

What is internal direct sum or internal direct product in Dummit and Foote?

Example of a group $G$ such that $G = N_1\cdots N_n$ and $N_i \cap N_j = \{e\}$ for all $i \neq j$ but $G$ is not the internal direct product of them.

Automorphism group of direct product of groups

Is there another name for Goursat's Lemma on subgroups of a direct product of groups?

Group Presentation of the Direct Product.

New posts in direct-product

Why is cohomology the direct product of the $H^n$?

Direct product of free groups

Is homotopy group of infinite product of spaces a direct sum or a direct product of groups?

If $H$ is a subgroup of a finite abelian group $G$, then $G$ has a subgroup that is isomorphic to $G/H$.

Quotient of the direct product of cyclic groups

Finding $n$ elements of $\mathbb{Z}_n\times\mathbb{Z}_n$ such that their differences are all different

Concerning Groups having the property that intersection of any two non-trivial subgroups is non-trivial

Why is the direct product of a finite number of nilpotent groups nilpotent?

External direct product of a family of group homomorphisms

Discovering and describing the homomorphisms returned by the sagemath function direct_product()

Direct sum and direct product of infinitely many abelian groups are not isomorphic

Isomorphisms for Infinite Direct Products of Groups

Let $G$ be a group and let $H_1,H_2\unlhd G$ such that $H_1\cap H_2 = \{1\}$ and $H_1H_2=G.$ Prove $G\simeq H_1\times H_2$ [duplicate]

Addition and Tensor product of Vector spaces for beginners : Concrete example

Direct sums and direct products

What is internal direct sum or internal direct product in Dummit and Foote?

Example of a group $G$ such that $G = N_1\cdots N_n$ and $N_i \cap N_j = \{e\}$ for all $i \neq j$ but $G$ is not the internal direct product of them.

Automorphism group of direct product of groups

Is there another name for Goursat's Lemma on subgroups of a direct product of groups?

Group Presentation of the Direct Product.