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GreenGoblin
Member
- Feb 22, 2012
- 68
Determine the subgroups
Let S: = {(123),(235)} be a subset of $\sum_{5}$. Determine the subgroup <S> of $\sum_{5}$?
What exactly is this asking? Is S the set of just two elements here? Or all elements containing these permutations? If the former how can S be a subgroup?
Let G = <g> be a cyclic group of order 12. Find all subgroups of G.
Again, I am not 100% clear on the notation and just want an idea of what to do. The terms seem so broad.
Gracias,
GreenGoblin
Let S: = {(123),(235)} be a subset of $\sum_{5}$. Determine the subgroup <S> of $\sum_{5}$?
What exactly is this asking? Is S the set of just two elements here? Or all elements containing these permutations? If the former how can S be a subgroup?
Let G = <g> be a cyclic group of order 12. Find all subgroups of G.
Again, I am not 100% clear on the notation and just want an idea of what to do. The terms seem so broad.
Gracias,
GreenGoblin
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