Solve in 30 min plx 7. Let G be a group and let X be a set. Define a function a: Gx XX as follows. Forall g € G and all x € X set a(g, x) = x. Show that a is an action of G on X.

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Answered: 7. Let G be a group and let X be a set.…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.4: Cyclic Groups

Problem 30E

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7. Let G be a group and let X be a set. Define a function a: Gx XX as follows. For all g € G and all x EX set a(g, x) = x. Show that a is an action of G on X.