Decomposition of a group
65037
$H$ is a maximal normal subgroup of $G$ if and only if $G/H$ is simple.
133948
Shrinking or splitting some equations in a group of equations
36709
subgroup of direct product of two groups
91997
Product of two subgroups the whole group?
15526
Question on groups of order $pq$
8742
Examples and further results about the order of the product of two elements in a group
68201
Cyclic group of order $n$
154398
Show that H is a subgroup of G
146801
Primary decomposition of an ideal
68128
Two term free resolution of an abelian group.
131585
Primary decomposition problem
16476
Order of the product of two commuting elements with coprime orders in a group.
8483
A Particular Two-Variable System in a Group
24181
Showing that $G$ is a group under an alternative operation.
98734
Order of a product of elements in a generic group
33294
The correspondence theorem for groups
61526
An exercise about nilpotent quotient groups