Group with an interesting property
2794
Prove that if a group contains exactly one element of order 2, then that element is in the center of the group.
156319
Show that a group with $|G| = 33$ contains an element of order $3$
8483
A Particular Two-Variable System in a Group
111049
Groups with given automorphism groups
141379
All groups where underlying set has at most 4 elements
24181
Showing that $G$ is a group under an alternative operation.
150188
Construct a non-abelian group of order 75
17181
How to write a query for exact pairs of groups
104460
When a group is cyclic
2731
Groups of even order have an element whose order is 2.
63499
Groups of prime squared order
96910
Prove the following alternative group definition.
54082
Group with exactly two subgroups of index 2
66806
A nonsplit short exact sequence of abelian groups with $B \cong A \oplus C$
15341
Non-abelian finite group in which more than half of the elements have order $2$
52089
Group of $2n$ elements, $n$ odd, is not simple
30236
isomorphic groups related in direct product.