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Unformatted text preview: G = { e } . (b) If s G and g G , show that gsg 1 G . (5) Let G be an abelian group and let T be the set of all elements of G with nite order. (a) Show that T is a subgroup, called the torsion subgroup. (b) Show by example that T may not be a subgroup if G is not abelian. (Hint: In G = GL 2 ( R ), nd two nite order elements in G whose product is of innite order.) Department of Mathematics, McGill University, Montreal, QC, H3A 2K6 Canada Email address : hahn@math.mcgill.ca 1...
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 Fall '07
 Goren
 Algebra, Multiplication

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