A finite semi-group with cancellation laws is a group .
6755
A finite, cancellative semigroup is a group
73382
A concrete example of involution in group theory
11113
Group With an Endomorphism That is "Almost" Abelian is Abelian.
96910
Prove the following alternative group definition.
51352
Subgroups of a finite abelian group
145563
In an abelian group, the elements of finite order form a subgroup.
58688
Example of a group where $o(a)$ and $o(b)$ are finite but $o(ab)$ is infinite
121141
Proving Finiteness of Group from Presentation
56245
Let H be a subgroup of a group G. Prove that the following statements are equivalent.
101735
A finite $p$-group cannot be simple unless it has order $p$
61394
The product of finitely many cyclic groups is cyclic
17997
Right identity and Right inverse implies a group
2731
Groups of even order have an element whose order is 2.
5226
Prove that a finite semigroup G with identity is a group if and only if G contains only one idempotent
133762
A set which satisfies all conditions for a Group except associativity
90081
problems in group theory
35369
Monoid / semigroup with cancellation property $ ab=ac\Rightarrow b = c,$ $\ ba = ca\Rightarrow b = c$