Newbetuts

$G$ be a non-measurable subgroup of $(\mathbb R,+)$ ; $I$ be a bounded interval , then $m^(G \cap I)=m^(I)$?

Finding a permutation, and number of, from powers of the permutation

The rotation of dice on a grid

How does showing $\tau(i) = j \implies a\tau a^{-1}(a(i)) = a(j)$ demonstrate that $a\tau a^{-1}$ has the same cycle type as $\tau$?

Isomorphism of $S^1$.

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 $H$?

Why do the characters not determine the group?

Which group of order 24 is this group?

Is there a natural family of nonisomorphic groups parametrized by $\mathbb{R}$?

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

Prove that every proper subgroup of the group of all $2^n$-th roots of unity is finite.

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

The order of a conjugacy class is bounded by the index of the center

Is $O_n$ isomorphic to $SO_n \times \{\pm I\}$?

Decomposition of finitely-generated abelian group

New posts in group-theory

If $G$ is a nilpotent group and $H\leq G$ with $H[G,G]=G$ then $H=G$.

If $G$ nilpotent and $G/G'$ is cyclic then $G$ is cyclic? [duplicate]

$SL_2(\mathbb Z_3)/Z(SL_2(\mathbb Z_3)) \cong A_4$

Do the isomorphism's of groups form an equivalence relation on the class of all groups?

Linear Representations coming from Permutation Representations

$G$ be a non-measurable subgroup of $(\mathbb R,+)$ ; $I$ be a bounded interval , then $m^(G \cap I)=m^(I)$?

Finding a permutation, and number of, from powers of the permutation

The rotation of dice on a grid

How does showing $\tau(i) = j \implies a\tau a^{-1}(a(i)) = a(j)$ demonstrate that $a\tau a^{-1}$ has the same cycle type as $\tau$?

Isomorphism of $S^1$.

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 $H$?

Why do the characters not determine the group?

Which group of order 24 is this group?

Is there a natural family of nonisomorphic groups parametrized by $\mathbb{R}$?

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

Prove that every proper subgroup of the group of all $2^n$-th roots of unity is finite.

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

The order of a conjugacy class is bounded by the index of the center

Is $O_n$ isomorphic to $SO_n \times \{\pm I\}$?

Decomposition of finitely-generated abelian group