Unformatted text preview: K . • What is the order of K ? • Is K abelian or nilpotent? 4) Show that the group L = h x,y | x 3 = 1 ,y 2 = 1 , ( xy ) 3 = 1 i . is isomorphic to the group A 4 , which is a subgroup of the symmetric group S 4 , consisting of all even permutations....
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- Fall '06
- Algebra, Computational Algebra Winter