[GAP Forum] Sampling elements in conjugacy classes of a symmetric group

[Don King]

Hello,

I`d like to sample some elements in a symmetric group of order n based on the ratio of conjugacy classes.

For instance, if a symmetric group just has five conjugacy classes (this is just for illustration, not an actual symmetric group),

Class 1: 10 memeber
Class2: 20 members
Class3: 30 memebers
Class4: 20 members
Class5: 10 memebers

is it possible to pick random samples like 1,2,3,2,1 elements from each class based on the ratio of each conjugacy classes ?.

Is there any way to pick random samples from each conjugacy class ?.

Thank you.

Sincerely,
Don


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