Show that the product of all group elements is $e$ or $u$ if $G$ has exactly one involution $u$
13355
Product of elements of a finite abelian group
46863
Show that $g$ is injective
102971
Product of all elements of a finite group with an unique element of order 2
112872
Involutions and Abelian Groups
116737
An element of a group $G$ is not conjugate to its inverse if $\lvert G\rvert$ is odd
115427
Galois group of $\prod_{i=1}^{p-1} (X^2-i)$
144988
Commutator Subgroup of Direct Product equals the Direct Product of the Commutator Subgroups
129827
Product of invertibles in $\Bbb Z_n$ [Wilson's Theorem generalization]
13631
Showing group with $p^2$ elements is Abelian
108310
$(a_1 a_2 \cdots a_n)^2=e$ in a finite abelian group
37414
Question on Groups $G=\langle x,y|x^4=y^4=e,xyxy^{-1}=e\rangle$
81354
The product of all the elements of a finite abelian group
91997
Product of two subgroups the whole group?
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 $3$
84198
Step in Proof of Cardinality of Product of two Groups
145123
Prove a group generated by two involutions is dihedral