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Let G = <x, y | x8 = y2 = e, yxyx3 = e>. Show that |G| ≤16. Assumingthat |G| = 16, find the center of G and the order of xy.

Let G = <x, y | x8 = y2 = e, yxyx3 = e>. Show that |G| ≤16. Assumingthat |G| = 16, find the center of G and the order of xy.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 3CM: Let T:RnRm be the linear transformation defined by T(v)=Av, where A=[30100302]. Find the dimensions...
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Let G = <x, y | x8 = y2 = e, yxyx3 = e>. Show that |G| ≤16. Assuming
that |G| = 16, find the center of G and the order of xy.

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