True or falseWit a short explanations 6. True (T) or False (F). (Circle One)1. There can only be one group of order h, when h is a prime number(T) or (F)2. There is only one multiplication table for the cyclic group of order 5:(T) or (F)3. The number of classes in any Abelian group equals the order of the group.(T) or (F)4. An irreducible representation is a wave function.(T) or (F)5. A reducible representation is not a wave function.(T) or(F)6. An operation is a wave function.(T) or(F)7. Identity E can be a symmetry element and an operation.(T) or (F)8. A subgroup is the same as a class.(T) or(F)

NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

1. There can only be one group of order h, when h is a prime number (T) or_(F) 2. There is only one multiplication table for the cyclic group of order 5: (T) or (F) 3. The number of classes in any Abelian group equals the order of the group. (T) or F)

1. There can only be one group of order h, when h is a prime number (T) or_(F) 2. There is only one multiplication table for the cyclic group of order 5: (T) or (F) 3. The number of classes in any Abelian group equals the order of the group. (T) or F)

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.8: Some Results On Finite Abelian Groups (optional)

Problem 14E: Suppose that the abelian group G can be written as the direct sum G=C22C3C3, where Cn is a cyclic...

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Question

True or false

Wit a short explanations

6. True (T) or False (F). (Circle One)
1. There can only be one group of order h, when h is a prime number
(T) or (F)
2. There is only one multiplication table for the cyclic group of order 5:
(T) or (F)
3. The number of classes in any Abelian group equals the order of the group.
(T) or (F)
4. An irreducible representation is a wave function.
(T) or (F)
5. A reducible representation is not a wave function.
(T) or(F)
6. An operation is a wave function.
(T) or(F)
7. Identity E can be a symmetry element and an operation.
(T) or (F)
8. A subgroup is the same as a class.
(T) or(F)

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