An infinite group with finite exponent
6189
Examples of infinite groups such that all their respective elements are of finite order.
92677
Infinite algebraic extension of a finite field
6755
A finite, cancellative semigroup is a group
123677
Normal subgroups of infinite symmetric group
76504
Non-trivial cyclic group with unique generator
95867
Subgroup of $C^*$ (nonzero complex) with finite index.
133954
Does every infinite group have a maximal subgroup?
126426
Does every infinite finitely generated group contains an element of infinite period?
47539
Find an abelian infinite group such that every proper subgroup is finite
84789
Order of products of elements in a finite Abelian group
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 ?
88718
A group is generated by two elements of order $2$ is infinite and non-abelian
61394
The product of finitely many cyclic groups is cyclic
89508
Existence of normal subgroups for a group of order $36$
59211
Product of Finite Abelian Group
122353
Status of the classification of non-finitely generated abelian groups.
35379
Spectrum of infinite product of rings