Why is the alternating group called "alternating"?
137057
How did the Symmetric group and Alternating group come to be named as such?
8066
Sort-of-simple non-Hopfian groups
116737
An element of a group $G$ is not conjugate to its inverse if $\lvert G\rvert$ is odd
74482
Counterexample to Leibniz criterion for alternating series
88285
Intuition for groups
41420
Why are "algebras" called algebras?
26572
Does the Symmetric difference operator define a group on the powerset of a set?
126771
Group element not taken to its inverse by any automorphism
49257
How to show that Klein four-group is a normal subgroup of the alternating group $A_4$
27780
Subgroup which is generated by odd elements
33593
An example of a non-abelian group $G$ where, for all $a,b\in G$, the equality $(ab)^{n}=a^{n}b^{n}$ holds for two consecutive integers $n$
26398
Group of even order contains an element of order 2
30793
Intuition behind normal subgroups
13834
Show that G is a group, if G is finite, the operation is associative, and cancellation law holds
62255
Notation question: Subroup generated by two elements?
89474
every permutation is either even or odd,but not both
18182
An abelian group $G$ with ${\rm Aut}(G)$ non-abelian