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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Abstract Algebra Problems
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