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Questions and Answers
What is the number of orbits equal to in the context of the given problem?
What is the number of orbits equal to in the context of the given problem?
- The order of the group
- The number of different necklaces (correct)
- The index of a subgroup
- The number of conjugates
What is the value of $|X_g|$ for each $g
eq e$ in the given context?
What is the value of $|X_g|$ for each $g eq e$ in the given context?
- $|X_g| = |G|$
- $|X_g| = 1$ (correct)
- $|X_g| = p$
- $|X_g| = n$
What is the number of conjugates of the element $(1 hinspace 3)$ in $D_4$?
What is the number of conjugates of the element $(1 hinspace 3)$ in $D_4$?
- 3
- 1
- 4
- 2 (correct)
What can be said about the number of elements in each conjugate class of the symmetric group of degree 3?
What can be said about the number of elements in each conjugate class of the symmetric group of degree 3?
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If every two maximal subgroups of a group G are conjugate in G, what can be concluded about G?
If every two maximal subgroups of a group G are conjugate in G, what can be concluded about G?
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