Can a group be non-empty by definition of 'group'?
45508
Is the empty set a group?
63214
Can continuity of inverse be omitted from the definition of topological group?
62255
Notation question: Subroup generated by two elements?
1601
Do you pluralize the singular possessions of / items or people associated with individual members of a plural group?
114662
Construction of a specific non-commutative and infinite group (with conditions on the order of the elements)
3104
Prove that a group is infinite and nonabelian.
133762
A set which satisfies all conditions for a Group except associativity
134368
In Group theory proofs what is meant by "well defined"
133954
Does every infinite group have a maximal subgroup?
126426
Does every infinite finitely generated group contains an element of infinite period?
120787
When should one use \begingroup instead of \bgroup?
153797
Is a quotient group a subgroup?
28676
Is a finite group uniquely determined by the orders of its elements?
138162
Do Irrationals form a group?
139025
Do all Groups have a representation?
27436
Does $G\cong G/H$ imply that $H$ is trivial?
113413
How do I show that two groups are not isomorphic?