The union of two subspaces of vector space V is also a subspace of V.
R* under multiplication is isomorphic to R under addition.
If α and β are distinct 2-cycles, then |αβ|=2.
There exists a noncyclic Abelian group of order 6.
For a,b ∈G(group), |bab⁻¹ |=|a|.
If G is a group that has exactly one nontrivial proper subgroup, then G is cyclic and |G|= P², where p is prime.
If G={e,a,a²,b,ba,ba²} is a nonAbelian group with |α|=3 and |b|=2, then αb=ba²
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