Newbetuts

Show that each character of $G$ which is zero for all $g \ne 1$ is an integral multiple of the character $r_G$ of the regular representation

A finite group $G$ has two elements of the same order ; does there exists a group $H$ containing $G$ such that those elements are conjugate in $H$?

Which group of order 24 is this group?

The maximum order of the elements of a group and the number of elements that have that order

Consider the homomorphism from A5 to Z_60. Show that the kernel is equal to A5.

Functional equation of irreducible characters

Semi-direct product in general linear groups

Order of Double Coset

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

Largest symmetric group contained in alternating group

Group of order $224$

Order of element of a cyclic group proof [duplicate]

Are two finite groups of the same order always isomorphic?

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?

Groups of order $pq$ have a proper normal subgroup

Why is $PGL_2(5)\cong S_5$?

Why is the number of subgroups of a finite group G of order a fixed p-power congruent to 1 modulo p?

A group of order $30$ has a normal $5$-Sylow subgroup.

New posts in finite-groups

Show that each character of $G$ which is zero for all $g \ne 1$ is an integral multiple of the character $r_G$ of the regular representation

Is there a simple geometric example of unequal left and right cosets?

Linear Representations coming from Permutation Representations

A finite group $G$ has two elements of the same order ; does there exists a group $H$ containing $G$ such that those elements are conjugate in $H$?

Which group of order 24 is this group?

The maximum order of the elements of a group and the number of elements that have that order

Consider the homomorphism from A5 to Z_60. Show that the kernel is equal to A5.

Functional equation of irreducible characters

Semi-direct product in general linear groups

Order of Double Coset

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

Largest symmetric group contained in alternating group

Group of order $224$

Order of element of a cyclic group proof [duplicate]

Are two finite groups of the same order always isomorphic?

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?

Groups of order $pq$ have a proper normal subgroup

Why is $PGL_2(5)\cong S_5$?

Why is the number of subgroups of a finite group G of order a fixed p-power congruent to 1 modulo p?

A group of order $30$ has a normal $5$-Sylow subgroup.