Let G be a group and a,b G such that (i) lal = 4 = lbl;
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Let G be a group and a,b ϵ G such that (i) lal = 4 = lbl; (ii) a2 = b2 ; (iii) ba = a3b = a-1b; (iv) a ≠ b; (v) G = (a,b). Show that IGI = 8 and G ≅ Q8.
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First we can use the given relations to find all the possible elements of the group G Since lal 4 we know that a can be one of four elements a a2 a3 o...View the full answer
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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