Let α = (12)(34) and β = (24). Show that the group generated by αand β is isomorphic to D4.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.1: Definition Of A Group
Problem 45E: 45. Let . Prove or disprove that is a group with respect to the operation of intersection. (Sec. )
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Let α = (12)(34) and β = (24). Show that the group generated by α
and β is isomorphic to D4.

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