Let H be a group in which h²=I for all h is an element of H. Prove: Suppose |H|<∞. Let {h₁,h₂,…..hn} be minimal set of generators for H. then
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Originally Posted by apple2009 Let H be a group in which h²=I for all h is an element of H. Prove: Suppose |H|<∞. Let {h₁,h₂,…..hn} be minimal set of generators for H. then Any element is a product of and since H is abelian (why?) we can even order that product in ascending index order: Well, in how many ways can you choose the first factor in such a product? In how many the second factor?.... Tonio
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