Let G be a nonabelian group of order 6. Show carefully that G must contain three elements of period 2 and two elements of period 3.
Let G be an abelian group of order 2n where n is odd. Determine how many elements of period 2 are contained in G. Fact: G must contain at least one element of period 2 (assume).© BrainMass Inc. brainmass.com March 4, 2021, 6:27 pm ad1c9bdddf
Abelian Groups, Cauchy's Theorem, LaGrange's Theorem and Sylow Subgroups are investigated.