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Jun
15
asked If $(|G|, |H|) > 1$, does it follow that $\operatorname{Aut}(G \times H) \neq \operatorname{Aut}(G) \times \operatorname{Aut}(H)$?
Jun
15
answered Intersection of the $p$-sylow and $q$-sylow subgroups of group $G$
Jun
14
answered Some group theory interpretion problem
Jun
12
answered A subgroup containing a kernel of a group homomorphism into an abelian group is a normal subgroup.
Jun
3
answered Subgroups of a cyclic group and their order.
May
9
answered Quickest route to the structure theorem for finitely generated modules over a PID
May
4
answered Extending a homomorphism $f:\left<a \right>\to\Bbb T$ to $g:G\to \Bbb T$, where $G$ is abelian and $\mathbb{T}$ is the circle group.
May
4
answered Normal subgroup of a normal subgroup
May
3
answered Terminology for infinite groups, all of whose subgroup have finite index.
Apr
30
answered $\bigcup_{x \in G} xHx^{-1} \neq G$
Apr
30
answered There is an automorphism of $\mathbb Z_6$ which is not an inner automorphism
Apr
27
answered Reference of a Theorem in Group Theory
Apr
26
answered When is the group of units in $\mathbb{Z}_n$ cyclic?
Apr
26
answered If N is a normal subgroup of G,decide whether np(N) | np(G) or np(G/N) | np(G)?
Apr
23
answered Groups with 20 Sylow subgroups
Apr
21
answered A group of order 105 contains a subgroup of order 35.
Apr
20
answered $G$ is a nonabelian finite group, then $|Z(G)|\leq \frac{1}{4}|G|$
Apr
18
answered On the commutator subgroup of a group
Apr
14
answered Which groups are derived subgroups?
Apr
9
answered Finite group with a normal Sylow subgroup