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 in±nite order.) Department of Mathematics, McGill University, Montreal, QC, H3A 2K6 Canada Email address : [email protected] 1...
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This note was uploaded on 11/02/2011 for the course MATH 235 taught by Professor Goren during the Fall '07 term at McGill.
 Fall '07
 Goren
 Algebra, Multiplication

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