Newbetuts

A non-trivial normal subgroup N of a finite group G or order $p^n$ is such that $N\cap Z(G)\neq \{ 1\}$ [duplicate]

Prove $G$ is abelian if $f(f(x)) = x$?

Largest symmetric group contained in alternating group

Group of order $224$

Are all $\delta$-hyperbolic groups CAT(0)?

Non-trivial nilpotent group has non-trivial center

Order of element of a cyclic group proof [duplicate]

Prove that the order of the cyclic subgroup $\langle g^k\rangle $ is $n/{\operatorname{gcd}(n,k)}$ [duplicate]

Which rings arise as a group ring?

Is this structure a group?

Are two finite groups of the same order always isomorphic?

Is the group isomorphism problem decidable for abelian groups?

Orbit-stabilizer theorem for Lie groups?

Is $\langle a,b \mid a^2b^2=1 \rangle$ a semidirect product of $\mathbb{Z}^2$ and $\mathbb{Z}_2$?

Lang Lemma 6.1 (before Sylow): if $p$ divides order of finite abelian group, then subgroup with $p$ order exists. Why is $x^s\neq1$ guaranteed?

New posts in group-theory

Derived subgroup of semidirect product

Find all homomorphisms from $\mathbb Z_4\to\mathbb Z_2\oplus\mathbb Z_2$

Can every torsion-free nilpotent group be ordered?

On the group of all complex roots of unity whose orders are powers of $p$, prime number [closed]

Order of Double Coset

A non-trivial normal subgroup N of a finite group G or order $p^n$ is such that $N\cap Z(G)\neq \{ 1\}$ [duplicate]

Prove $G$ is abelian if $f(f(x)) = x$?

Largest symmetric group contained in alternating group

Group of order $224$

Are all $\delta$-hyperbolic groups CAT(0)?

Non-trivial nilpotent group has non-trivial center

Order of element of a cyclic group proof [duplicate]

Prove that the order of the cyclic subgroup $\langle g^k\rangle $ is $n/{\operatorname{gcd}(n,k)}$ [duplicate]

Which rings arise as a group ring?

Is this structure a group?

Are two finite groups of the same order always isomorphic?

Is the group isomorphism problem decidable for abelian groups?

Orbit-stabilizer theorem for Lie groups?

Is $\langle a,b \mid a^2b^2=1 \rangle$ a semidirect product of $\mathbb{Z}^2$ and $\mathbb{Z}_2$?

Lang Lemma 6.1 (before Sylow): if $p$ divides order of finite abelian group, then subgroup with $p$ order exists. Why is $x^s\neq1$ guaranteed?