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QUESTION 1 What map is normally used to define an isomorphism from (R, +) to (R*, x)? (The isomrphism between the real numbers with addition to the positive real number under multiplication) O Exponential O Quadratic O Linear O Constant QUESTION 2 When can Zn and Zm be isomorphic? (the understood operation is addition) O When both n and m are prime numbers. O When n and m do not share any divisor other than 1. O Only when n = m. O When both Zn and Zm do not have divisors of zero. QUESTION 3 Every group is isomorphic to a (an) O abelian group of same order O cyclic group of same order O group of infinite order O group of permutations

QUESTION 1 What map is normally used to define an isomorphism from (R, +) to (R*, x)? (The isomrphism between the real numbers with addition to the positive real number under multiplication) O Exponential O Quadratic O Linear O Constant QUESTION 2 When can Zn and Zm be isomorphic? (the understood operation is addition) O When both n and m are prime numbers. O When n and m do not share any divisor other than 1. O Only when n = m. O When both Zn and Zm do not have divisors of zero. QUESTION 3 Every group is isomorphic to a (an) O abelian group of same order O cyclic group of same order O group of infinite order O group of permutations

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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QUESTION 1 What map is normally used to define an isomorphism from (R, +) to (R*, x)? (The isomrphism between the real numbers with addition to the positive real number under multiplication) O Exponential O Quadratic O Linear O Constant QUESTION 2 When can Zn and Zm be isomorphic? (the understood operation is addition) O When both n and m are prime numbers. O When n and m do not share any divisor other than 1. O Only when n = m. O When both Zn and Zm do not have divisors of zero. QUESTION 3 Every group is isomorphic to a (an) O abelian group of same order O cyclic group of same order O group of infinite order O group of permutations
Transcribed Image Text:QUESTION 1 What map is normally used to define an isomorphism from (R, +) to (R*, x)? (The isomrphism between the real numbers with addition to the positive real number under multiplication) O Exponential O Quadratic O Linear O Constant QUESTION 2 When can Zn and Zm be isomorphic? (the understood operation is addition) O When both n and m are prime numbers. O When n and m do not share any divisor other than 1. O Only when n = m. O When both Zn and Zm do not have divisors of zero. QUESTION 3 Every group is isomorphic to a (an) O abelian group of same order O cyclic group of same order O group of infinite order O group of permutations
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