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Example 6.7 Show that the group G((a,b a,b,aba b)) (pand q are relatively prime) is isomorphic to the modulo group Solution

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2 e G a,b hu ate, bte amd a e, b- and abalb- ze, m, ab) Catb-Cba) =e (ba) iu,(a) e) e Cba) , dbba amd K<bX . Let H- <a) p amdtene, G HX K New, m H gat G ZPx ZZ G Zp LProred es Scanned with CamScanner

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group theory Example 6.7 Show that the group G((a,b a",b,aba b)) (pand q are relatively prime) is isomorphic to...
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