Let G = G₁x G₂ ×· × Gn be the direct product of groups. Let i= 1,2,...,n. Show that the projection mapTi: G→ G; defined by лi ((81,82,,gn)) := g; is a group homomorphism.

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Answered: Let G = G₁x G₂ ×· × Gn be the direct…

Understanding Business

12th Edition

ISBN:9781259929434

Author:William Nickels

Publisher:William Nickels

Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment

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Let G = G₁x G₂ ×· × Gn be the direct product of groups. Let i= 1,2,...,n. Show that the projection map Ti: G→ G; defined by лi ((81,82,,gn)) := g; is a group homomorphism.