Is there any element of order $51$ in the group $U(103)$
93760
There is an element of order $51$ in the multiplicative group $(Z/103Z)^∗.$
157819
Every group of order $56$ has a proper non - trivial normal subgroup?
152820
Every element of a group has order $2$. Why, intuitively, is it abelian?
121481
Non-abelian finite $p$-group in which every element has prime order?
121423
Prove that every element of a finite group has an order
150760
Are there any distinct finite simple groups with the same order?
88344
Order of a group and subsequent subgroups
40763
Possible orders of permutations of $11$ symbols
145127
For any integers $m,n>1$ , does there exist a group $G$ with elements $a,b \in G$ such that $o(a)=m , o(b)=n$ but $ab$ has infinite order ?
92750
Groups where all elements are order 3
122959
How is number of conjugacy class related to the order of a group?
91774
Existence of group $G$ with $|G|>2$ and automorphism group of odd order
8742
Examples and further results about the order of the product of two elements in a group
68201
Cyclic group of order $n$
8746
Groups of order $pq$ without using Sylow theorems
142038
Finding the number of elements of order two in the symmetric group $S_4$
24970
Only two groups of order $10$: $C_{10}$ and $D_{10}$