Showing there is a unique group table for $\{1, a,b,c\}$ such that there is no element of order $4$.
62277
Cayley tables for two non-isomorphic groups of order 4.
124224
How many groups of order $n$ with center {e} exist?
90074
Show that the sequence $1,2,3,4,5,6,7,8,9,1,0,1,1,1,2,1,3,1,4,1,5,1,6,1,7,1,8,1,9,2,0,2,1,\cdots$ isn't periodic
9411
Number of permutations of $n$ elements where no number $i$ is in position $i$
114662
Construction of a specific non-commutative and infinite group (with conditions on the order of the elements)
150760
Are there any distinct finite simple groups with the same order?
107010
How many elements of order $k$ are in $S_n$?
71098
number of table with $1$ and $-1$
156549
Prove that there is no group $G$ s.t. $\operatorname{Aut}(G)=\mathbb{Q}$
66877
Showing groups of order $p^{k}(p+1)$ are not simple, p prime
134676
Number of elements of order $p$ is a multiple of $p-1$ (finite group).
8742
Examples and further results about the order of the product of two elements in a group
34099
Proving that the empty set is unique
68201
Cyclic group of order $n$
133762
A set which satisfies all conditions for a Group except associativity
56607
gcd and order of elements of group
90329
Prove there is no simple group of order $729$