Elements Of Modern Algebra

8th Edition

ISBN: 9781285463230

Author: Gilbert, Linda, Jimmie

Publisher: Cengage Learning,

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Question

Subject: Abstract Algebra

Please help me out with these problems through proofing. There are two parts to it.

Suppose G is a group, with a belong to G.

a. Prove that a^ma^n = a^m+n for all natural numbers m and n. Hint: Fix n belong to N. Then prove by mathematical induction on m.

b. Prove that (a^m)^n = a^mn for all natural numbers m and n.

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Elements Of Modern Algebra

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