Problem in working out a question related to group theory.
133627
If $\phi(g)=g^3$ is a homomorphism and $3 \nmid |G|$, $G$ is abelian.
103216
The set $\{g^2 | g \in G\}$ in a group $G$
94507
Given $G$ group and $H \le G$ such that $|G:H|=2$, how does $x^2 \in H$ for every $x \in G$?
23523
Two problems on number theory
57809
For which $n$, $G$ is abelian?
67554
In a group, the number of non-self-inverse elements is even
52089
Group of $2n$ elements, $n$ odd, is not simple
33819
What does "the ${\bf N}$ of a group" mean?
38037
A problem with my reasoning in a problem about combinations
116737
An element of a group $G$ is not conjugate to its inverse if $\lvert G\rvert$ is odd
139100
A question on the group algebra $k[G]$ of a finite abelian group
87766
Using Cayley's Theorem to find an isomorphic subgroup.
11627
Find the center of the symmetry group $S_n$.
139984
Please help me, Group Theory. Prove $b^{33}=e$.
156247
Question about permutations and cycles (Groups and Symmetries)
8571
Translations in two dimensions - Group theory
80849
There does not exist group $G$ such that Aut$(G)\cong \mathbb{Z}_n$ (for odd $n$)