Newbetuts

If $p$ is an odd prime, does every Sylow $p$-subgroup contain an element not in any other Sylow $p$-subgroup?

What groups can G/Z(G) be? [duplicate]

Normal subgroups of the symmetric group $S_N$

Prove that $\exists a,g,h\in G\colon h=aga^{-1}, g\neq h ,gh=hg$ in a finite non-abelian group $G$.

number of subgroups index $p$ equals number of subgroups order $p$

Dimensions of irreducible representations of finite groups over $\mathbb Q$

Normalizing every Sylow p-subgroup versus centralizing every Sylow p-subgroup

$p$-groups have normal subgroups of each order [duplicate]

Dihedral group - elements of order $2$

The centre of a minimal nonabelian $p$-subgroup [closed]

A question about Frattini subgroup of specific form

When is the automorphism group $\text{Aut }G$ cyclic?

Help to prove that $ U_{p} $ is a cyclic group.

Describe all of the homomorphisms from $\Bbb Z_{24}$ to $\Bbb Z_{18}$. [duplicate]

Group of order $1575$ having a normal sylow $3$ subgroup is abelian.

What About The Converse of Lagrange's Theorem?

Elements of $S_n$ which can not be product of $\leq n-2$ transpositions

New posts in finite-groups

Let $G=\langle\mu\rangle$ be the subgroup of $S_4$, now compute the coset of $G$ using...?

Group isomorphic to its automorphism group

Finite groups of functions under function composition

If $p$ is an odd prime, does every Sylow $p$-subgroup contain an element not in any other Sylow $p$-subgroup?

What groups can G/Z(G) be? [duplicate]

Normal subgroups of the symmetric group $S_N$

Prove that $\exists a,g,h\in G\colon h=aga^{-1}, g\neq h ,gh=hg$ in a finite non-abelian group $G$.

number of subgroups index $p$ equals number of subgroups order $p$

Dimensions of irreducible representations of finite groups over $\mathbb Q$

Normalizing every Sylow p-subgroup versus centralizing every Sylow p-subgroup

$p$-groups have normal subgroups of each order [duplicate]

Dihedral group - elements of order $2$

The centre of a minimal nonabelian $p$-subgroup [closed]

A question about Frattini subgroup of specific form

When is the automorphism group $\text{Aut }G$ cyclic?

Help to prove that $ U_{p} $ is a cyclic group.

Describe all of the homomorphisms from $\Bbb Z_{24}$ to $\Bbb Z_{18}$. [duplicate]

Group of order $1575$ having a normal sylow $3$ subgroup is abelian.

What About The Converse of Lagrange's Theorem?

Elements of $S_n$ which can not be product of $\leq n-2$ transpositions