1.Show that the set {5,10,25,35} is a group under multiplication modulo 40 by constructing its Cayley table. What is the identity element in the group? 2. Is the group in question 1 cyclic? Substantiate.

1.Show that the set {5,10,25,35} is a group under multiplication modulo 40 by constructing its Cayley table. What is the identity element in the group? 2. Is the group in question 1 cyclic? Substantiate.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.3: Permutation Groups In Science And Art (optional)

Problem 23E: Construct a multiplication table for the group G of rigid motions of a rectangle with vertices...

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1.Show that the set {5,10,25,35} is a group under multiplication modulo 40 by constructing its Cayley table. What is the identity element in the group?

2. Is the group in question 1 cyclic? Substantiate.

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