MathDB
G_a is a subgroup of G - [Iran Second Round 1985]

Source:

December 29, 2010
group theoryabstract algebrasuperior algebrasuperior algebra unsolved

Problem Statement

Let GG be a group and let aa be a constant member of it. Prove that Ga={x∣∃n∈Z,x=an}G_a = \{x | \exists n \in \mathbb Z , x=a^n\} Is a subgroup of G.G.
Back to ProblemsView on AoPS