Finding examples of infinite groups where all elements have finite order
6189
Examples of infinite groups such that all their respective elements are of finite order.
85379
Semigroup analogue to the classification of finite simple groups?
108309
An example of a non-abelian group of order $p^3$
156319
Show that a group with $|G| = 33$ contains an element of order $3$
36882
Two finite abelian groups with the same number of elements of any order are isomorphic
99309
Groups of order $n^2$ that have no subgroup of order $n$
141379
All groups where underlying set has at most 4 elements
106660
Every subgroup of the integers has finite index
15341
Non-abelian finite group in which more than half of the elements have order $2$
64527
Show that an operation of elements in a finite group contains each element exactly once
5089
An element of a group has the same order as its inverse
126569
Can we find a well ordering on an infinite set with no largest element?
84789
Order of products of elements in a finite Abelian group
33008
Linear order where every initial segment is finite
114590
Prove that any finite group $G$ of even order contains an element of order $2.$
147366
What are a few examples of noncyclic finite groups?
2254
Finite group with isomorphic normal subgroups and non-isomorphic quotients?