Mathematics · Group Theory
Which of the following statements are correct regarding the center of a group and conjugacy classes? A. The center of a group, Z(G), consists of all elements that commute with every element in the group. B. Elements located within the center of a group form their own conjugacy classes, each of size 1. C. The Class Equation states that the order of a finite group is equal to the sum of the sizes of all its non-central conjugacy classes alone. D. Non-central elements in a group appear in conjugacy classes that are larger than size 1. Choose the most appropriate answer from the options given below:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1A, B and D Only✓
- 2A, C and D Only
- 3B, C and D Only
- 4A, B and C Only
Correct answer
A, B and D Only
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