Newbetuts

Example of a nontransitive action of $\operatorname{Aut}(K/\mathbb Q)$ on the roots in $K$ of an irreducible polynomial.

Do proper dense subgroups of the real numbers have uncountable index

Commutator subgroup of a free group

$G$ solvable $\implies$ composition factors of $G$ are of prime order.

Trick to proving a group has exactly one idempotent element - Fraleigh p. 48 4.31

If $G$ is non-abelian group of order 6, it is isomorphic to $S_3$

On the generators of the Modular Group

Difficulty showing that a group $G$ applied on $X$, $G_x$ ($x \in X$) & $G_y$, w/ $y \in G(x)$ are same iff $G_x$ is a normal subgroup of $G$. [duplicate]

There are exactly 116 different groups P where $7\mathbf{Z}^{3} \subset P \subset \mathbf{Z}^{3}$

Are two subgroups that contain a common element conjugate iff they are conjugate under the normalizer?

Is a group with only finitely many subgroups of index n (for all n) finitely generated

Tricks - Prove Homomorphism Maps Identity to Identity - Fraleigh p. 128 Theorem 13.12(1.)

Is the Axiom of Choice implicitly used when defining a binary operation on a quotient object?

What are the subgroups of $\operatorname{Alt}(2p)$ containing the normalizer of a Sylow $p$-subgroup?

Understanding the normalizer of a Sylow $p$-subgroup

Sylow Subgroups of a Dihedral Group

Do subgroup and quotient group define a group?

New posts in group-theory

Elements of $S_n$ can be written as a product of $k$-cycles.

Why is the quotient map $SL_n(\mathbb{Z})$ to $SL_n(\mathbb{Z}/p\mathbb Z)$ is surjective?

Does every group act faithfully on some group?

Example of a nontransitive action of $\operatorname{Aut}(K/\mathbb Q)$ on the roots in $K$ of an irreducible polynomial.

Do proper dense subgroups of the real numbers have uncountable index

Commutator subgroup of a free group

$G$ solvable $\implies$ composition factors of $G$ are of prime order.

Trick to proving a group has exactly one idempotent element - Fraleigh p. 48 4.31

If $G$ is non-abelian group of order 6, it is isomorphic to $S_3$

On the generators of the Modular Group

Difficulty showing that a group $G$ applied on $X$, $G_x$ ($x \in X$) & $G_y$, w/ $y \in G(x)$ are same iff $G_x$ is a normal subgroup of $G$. [duplicate]

There are exactly 116 different groups P where $7\mathbf{Z}^{3} \subset P \subset \mathbf{Z}^{3}$

Are two subgroups that contain a common element conjugate iff they are conjugate under the normalizer?

Is a group with only finitely many subgroups of index n (for all n) finitely generated

Tricks - Prove Homomorphism Maps Identity to Identity - Fraleigh p. 128 Theorem 13.12(1.)

Is the Axiom of Choice implicitly used when defining a binary operation on a quotient object?

What are the subgroups of $\operatorname{Alt}(2p)$ containing the normalizer of a Sylow $p$-subgroup?

Understanding the normalizer of a Sylow $p$-subgroup

Sylow Subgroups of a Dihedral Group

Do subgroup and quotient group define a group?